147 lines
27 KiB
HTML
147 lines
27 KiB
HTML
<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="utf-8">
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<meta name="viewport" content="width=device-width, initial-scale=1">
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<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.16.21/dist/katex.min.css" integrity="sha384-zh0CIslj+VczCZtlzBcjt5ppRcsAmDnRem7ESsYwWwg3m/OaJ2l4x7YBZl9Kxxib" crossorigin="anonymous">
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<script defer src="https://cdn.jsdelivr.net/npm/katex@0.16.21/dist/katex.min.js" integrity="sha384-Rma6DA2IPUwhNxmrB/7S3Tno0YY7sFu9WSYMCuulLhIqYSGZ2gKCJWIqhBWqMQfh" crossorigin="anonymous"></script>
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<script defer src="https://cdn.jsdelivr.net/npm/katex@0.16.21/dist/contrib/auto-render.min.js" integrity="sha384-hCXGrW6PitJEwbkoStFjeJxv+fSOOQKOPbJxSfM6G5sWZjAyWhXiTIIAmQqnlLlh" crossorigin="anonymous" onload="renderMathInElement(document.body);"></script>
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<title>Wortels</title>
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<style>*{margin:0;padding:0}h1{font-size:24pt;margin-bottom:8pt}h2{font-size:18pt;margin-bottom:8pt}h3{font-size:16pt;margin-bottom:8pt}p{margin-bottom:12pt}body{display:flex;flex-direction:row;font-family:Courier New,Courier,monospace}nav{padding-top:12pt;display:flex;flex-direction:column;background-color:#4682b4;min-width:120pt;height:100vh}nav a{padding:0 4pt 8pt 18pt;display:inline-block;font-size:large;color:#f5f5f5}nav a:hover{background-image:linear-gradient(to bottom,#4682b4,#191970)}article{padding-top:12pt;padding-left:12pt;width:100%}
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</style></head>
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<body>
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<nav>
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<a href="/"><strong>Home</strong></a>
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<a href="/breuken">Breuken</a>
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<a href="/wortels">Wortels</a>
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<a href="/machten">Machten</a>
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</nav>
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<article>
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<h1 id="wortels">Wortels</h1>
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<h2 id="vermenigvuldiging">Vermenigvuldiging</h2>
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<span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mstyle mathsize="1.44em"><msqrt><mrow><mstyle mathcolor="blue"><mi>a</mi></mstyle><mo>⋅</mo><mstyle mathcolor="red"><mi>b</mi></mstyle></mrow></msqrt><mo>=</mo><msqrt><mstyle mathcolor="blue"><mi>a</mi></mstyle></msqrt><mo>⋅</mo><msqrt><mstyle mathcolor="red"><mi>b</mi></mstyle></msqrt></mstyle></mrow><annotation encoding="application/x-tex">\Large
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\sqrt{\textcolor{blue}{a}\cdot\textcolor{red}{b}}
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=
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\sqrt{\textcolor{blue}{a}}\cdot\sqrt{\textcolor{red}{b}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.4976em;vertical-align:-0.0848em;"></span><span class="mord sqrt sizing reset-size6 size8"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.9811em;"><span class="svg-align" style="top:-3.44em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord" style="padding-left:0.833em;"><span class="mord mathnormal" style="color:blue;">a</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">⋅</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord mathnormal" style="color:red;">b</span></span></span><span style="top:-3.3811em;"><span class="pstrut" style="height:3.44em;"></span><span class="hide-tail" style="min-width:0.853em;height:1.08em;"><svg xmlns="http://www.w3.org/2000/svg" width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702
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c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
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c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
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s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
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c69,-144,104.5,-217.7,106.5,-221
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l0 -0
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c5.3,-9.3,12,-14,20,-14
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H400000v40H845.2724
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s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
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c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
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M834 80h400000v40h-400000z"></path></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.0589em;"><span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel sizing reset-size6 size8">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.4976em;vertical-align:-0.2748em;"></span><span class="mord sqrt sizing reset-size6 size8"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8492em;"><span class="svg-align" style="top:-3.44em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord" style="padding-left:0.833em;"><span class="mord mathnormal" style="color:blue;">a</span></span></span><span style="top:-3.2492em;"><span class="pstrut" style="height:3.44em;"></span><span class="hide-tail" style="min-width:0.853em;height:1.08em;"><svg xmlns="http://www.w3.org/2000/svg" width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702
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c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
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c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
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s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
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c69,-144,104.5,-217.7,106.5,-221
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l0 -0
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c5.3,-9.3,12,-14,20,-14
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H400000v40H845.2724
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s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
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c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
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M834 80h400000v40h-400000z"></path></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.1908em;"><span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin sizing reset-size6 size8">⋅</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1.4976em;vertical-align:-0.0848em;"></span><span class="mord sqrt sizing reset-size6 size8"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.9811em;"><span class="svg-align" style="top:-3.44em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord" style="padding-left:0.833em;"><span class="mord mathnormal" style="color:red;">b</span></span></span><span style="top:-3.3811em;"><span class="pstrut" style="height:3.44em;"></span><span class="hide-tail" style="min-width:0.853em;height:1.08em;"><svg xmlns="http://www.w3.org/2000/svg" width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702
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c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
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c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
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c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
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s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
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c69,-144,104.5,-217.7,106.5,-221
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l0 -0
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c5.3,-9.3,12,-14,20,-14
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H400000v40H845.2724
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s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
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c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
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M834 80h400000v40h-400000z"></path></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.0589em;"><span></span></span></span></span></span></span></span></span></span>
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<h2 id="vermenigvuldigen-met-breuken">Vermenigvuldigen met breuken</h2>
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<span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mstyle mathsize="1.44em"><msqrt><mfrac><mstyle mathcolor="blue"><mi>a</mi></mstyle><mstyle mathcolor="red"><mi>b</mi></mstyle></mfrac></msqrt><mo>=</mo><msqrt><mrow><mstyle mathcolor="blue"><mi>a</mi></mstyle><mo>⋅</mo><mfrac><mn>1</mn><mstyle mathcolor="red"><mi>b</mi></mstyle></mfrac></mrow></msqrt><mo>=</mo><msqrt><mstyle mathcolor="blue"><mi>a</mi></mstyle></msqrt><mo>⋅</mo><msqrt><mfrac><mn>1</mn><mstyle mathcolor="red"><mi>b</mi></mstyle></mfrac></msqrt></mstyle></mrow><annotation encoding="application/x-tex">\Large
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\sqrt{\frac{\textcolor{blue}{a}}{\textcolor{red}{b}}}
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=
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\sqrt{\textcolor{blue}{a}\cdot\frac{1}{\textcolor{red}{b}}}
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=
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\sqrt{\textcolor{blue}{a}}\cdot\sqrt{\frac{1}{\textcolor{red}{b}}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:3.5136em;vertical-align:-1.2893em;"></span><span class="mord sqrt sizing reset-size6 size8"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.5447em;"><span class="svg-align" style="top:-4.4em;"><span class="pstrut" style="height:4.4em;"></span><span class="mord" style="padding-left:1em;"><span class="mord"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:red;">b</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:blue;">a</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span></span></span><span style="top:-3.5047em;"><span class="pstrut" style="height:4.4em;"></span><span class="hide-tail" style="min-width:1.02em;height:2.48em;"><svg xmlns="http://www.w3.org/2000/svg" width="400em" height="2.48em" viewBox="0 0 400000 2592" preserveAspectRatio="xMinYMin slice"><path d="M424,2478
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||
l0 -0c4,-6.7,10,-10,18,-10 H400000
|
||
v40H1014.6
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||
s-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185
|
||
c-2,6,-10,9,-24,9
|
||
c-8,0,-12,-0.7,-12,-2z M1001 80
|
||
h400000v40h-400000z"></path></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.8953em;"><span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel sizing reset-size6 size8">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:3.5136em;vertical-align:-1.1353em;"></span><span class="mord sqrt sizing reset-size6 size8"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.6516em;"><span class="svg-align" style="top:-4.4em;"><span class="pstrut" style="height:4.4em;"></span><span class="mord" style="padding-left:1em;"><span class="mord mathnormal" style="color:blue;">a</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">⋅</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.3214em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:red;">b</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord">1</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span></span></span><span style="top:-3.6116em;"><span class="pstrut" style="height:4.4em;"></span><span class="hide-tail" style="min-width:1.02em;height:2.48em;"><svg xmlns="http://www.w3.org/2000/svg" width="400em" height="2.48em" viewBox="0 0 400000 2592" preserveAspectRatio="xMinYMin slice"><path d="M424,2478
|
||
c-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514
|
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||
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||
s209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081
|
||
l0 -0c4,-6.7,10,-10,18,-10 H400000
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v40H1014.6
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||
s-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185
|
||
c-2,6,-10,9,-24,9
|
||
c-8,0,-12,-0.7,-12,-2z M1001 80
|
||
h400000v40h-400000z"></path></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.7884em;"><span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel sizing reset-size6 size8">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.4976em;vertical-align:-0.2748em;"></span><span class="mord sqrt sizing reset-size6 size8"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8492em;"><span class="svg-align" style="top:-3.44em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord" style="padding-left:0.833em;"><span class="mord mathnormal" style="color:blue;">a</span></span></span><span style="top:-3.2492em;"><span class="pstrut" style="height:3.44em;"></span><span class="hide-tail" style="min-width:0.853em;height:1.08em;"><svg xmlns="http://www.w3.org/2000/svg" width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702
|
||
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
|
||
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
|
||
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
|
||
s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
|
||
c69,-144,104.5,-217.7,106.5,-221
|
||
l0 -0
|
||
c5.3,-9.3,12,-14,20,-14
|
||
H400000v40H845.2724
|
||
s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
|
||
c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
|
||
M834 80h400000v40h-400000z"></path></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.1908em;"><span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin sizing reset-size6 size8">⋅</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:3.5136em;vertical-align:-1.1353em;"></span><span class="mord sqrt sizing reset-size6 size8"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.6516em;"><span class="svg-align" style="top:-4.4em;"><span class="pstrut" style="height:4.4em;"></span><span class="mord" style="padding-left:1em;"><span class="mord"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.3214em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:red;">b</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord">1</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span></span></span><span style="top:-3.6116em;"><span class="pstrut" style="height:4.4em;"></span><span class="hide-tail" style="min-width:1.02em;height:2.48em;"><svg xmlns="http://www.w3.org/2000/svg" width="400em" height="2.48em" viewBox="0 0 400000 2592" preserveAspectRatio="xMinYMin slice"><path d="M424,2478
|
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||
s-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121
|
||
s209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081
|
||
l0 -0c4,-6.7,10,-10,18,-10 H400000
|
||
v40H1014.6
|
||
s-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185
|
||
c-2,6,-10,9,-24,9
|
||
c-8,0,-12,-0.7,-12,-2z M1001 80
|
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h400000v40h-400000z"></path></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.7884em;"><span></span></span></span></span></span></span></span></span></span>
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<h2 id="herschrijven-als-macht">Herschrijven als Macht</h2>
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<span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mstyle mathsize="1.44em"><msqrt><mo stretchy="false">(</mo></msqrt><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><msup><mi>x</mi><mrow><mn>1</mn><mi mathvariant="normal">/</mi><mn>2</mn></mrow></msup></mstyle></mrow><annotation encoding="application/x-tex">\Large
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\sqrt(x) = x^{1/2}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.7856em;vertical-align:-0.3688em;"></span><span class="mord sqrt sizing reset-size6 size8"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.9839em;"><span class="svg-align" style="top:-3.44em;"><span class="pstrut" style="height:3.44em;"></span><span class="mopen" style="padding-left:1em;">(</span></span><span style="top:-3.1839em;"><span class="pstrut" style="height:3.44em;"></span><span class="hide-tail" style="min-width:1.02em;height:1.28em;"><svg xmlns="http://www.w3.org/2000/svg" width="400em" height="1.28em" viewBox="0 0 400000 1296" preserveAspectRatio="xMinYMin slice"><path d="M263,681c0.7,0,18,39.7,52,119
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M1001 80h400000v40h-400000z"></path></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.2561em;"><span></span></span></span></span></span><span class="mord mathnormal sizing reset-size6 size8">x</span><span class="mclose sizing reset-size6 size8">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel sizing reset-size6 size8">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.3447em;"></span><span class="mord sizing reset-size6 size8"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.9338em;"><span style="top:-3.413em;margin-right:0.0347em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size8 size6 mtight"><span class="mord mtight"><span class="mord mtight">1/2</span></span></span></span></span></span></span></span></span></span></span></span></span>
|
||
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mstyle mathsize="1.44em"><mroot><mo stretchy="false" lspace="0em" rspace="0em">(</mo><mn>3</mn></mroot><msup><mi>x</mi><mn>2</mn></msup><mo stretchy="false">)</mo><mo>=</mo><msup><mi>x</mi><mrow><mn>2</mn><mi mathvariant="normal">/</mi><mn>3</mn></mrow></msup></mstyle></mrow><annotation encoding="application/x-tex">\Large
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\sqrt[3](x^2)=x^{2/3}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.7856em;vertical-align:-0.3688em;"></span><span class="mord sqrt sizing reset-size6 size8"><span class="root"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7499em;"><span style="top:-3.1367em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size8 size3 mtight"><span class="mord mtight"><span class="mord mtight">3</span></span></span></span></span></span></span></span><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.9839em;"><span class="svg-align" style="top:-3.44em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord" style="padding-left:1em;"><span class="mopen">(</span></span></span><span style="top:-3.1839em;"><span class="pstrut" style="height:3.44em;"></span><span class="hide-tail" style="min-width:1.02em;height:1.28em;"><svg xmlns="http://www.w3.org/2000/svg" width="400em" height="1.28em" viewBox="0 0 400000 1296" preserveAspectRatio="xMinYMin slice"><path d="M263,681c0.7,0,18,39.7,52,119
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l0 -0
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c4.7,-7.3,11,-11,19,-11
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||
H40000v40H1012.3
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s-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232
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||
c-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1
|
||
s-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26
|
||
c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z
|
||
M1001 80h400000v40h-400000z"></path></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.2561em;"><span></span></span></span></span></span><span class="mord sizing reset-size6 size8"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8605em;"><span style="top:-3.413em;margin-right:0.0347em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size8 size6 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span><span class="mclose sizing reset-size6 size8">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel sizing reset-size6 size8">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.3447em;"></span><span class="mord sizing reset-size6 size8"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.9338em;"><span style="top:-3.413em;margin-right:0.0347em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size8 size6 mtight"><span class="mord mtight"><span class="mord mtight">2/3</span></span></span></span></span></span></span></span></span></span></span></span></span>
|
||
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mstyle mathsize="1.44em"><mroot><mo stretchy="false" lspace="0em" rspace="0em">(</mo><mstyle mathcolor="blue"><mi>n</mi></mstyle></mroot><msup><mi>x</mi><mstyle mathcolor="red"><mi>m</mi></mstyle></msup><mo stretchy="false">)</mo><mo>=</mo><msup><mi>x</mi><mrow><mstyle mathcolor="red"><mi>m</mi></mstyle><mi mathvariant="normal">/</mi><mstyle mathcolor="blue"><mi>n</mi></mstyle></mrow></msup></mstyle></mrow><annotation encoding="application/x-tex">\Large
|
||
\sqrt[\textcolor{blue}{n}](x^{\textcolor{red}{m}})
|
||
=
|
||
x^{\textcolor{red}{m}/\textcolor{blue}{n}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.7856em;vertical-align:-0.3688em;"></span><span class="mord sqrt sizing reset-size6 size8"><span class="root"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.646em;"><span style="top:-3.1367em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size8 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="color:blue;">n</span></span></span></span></span></span></span></span><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.9839em;"><span class="svg-align" style="top:-3.44em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord" style="padding-left:1em;"><span class="mopen">(</span></span></span><span style="top:-3.1839em;"><span class="pstrut" style="height:3.44em;"></span><span class="hide-tail" style="min-width:1.02em;height:1.28em;"><svg xmlns="http://www.w3.org/2000/svg" width="400em" height="1.28em" viewBox="0 0 400000 1296" preserveAspectRatio="xMinYMin slice"><path d="M263,681c0.7,0,18,39.7,52,119
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H40000v40H1012.3
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c-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1
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||
s-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26
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||
c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z
|
||
M1001 80h400000v40h-400000z"></path></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.2561em;"><span></span></span></span></span></span><span class="mord sizing reset-size6 size8"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.712em;"><span style="top:-3.413em;margin-right:0.0347em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size8 size6 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="color:red;">m</span></span></span></span></span></span></span></span></span><span class="mclose sizing reset-size6 size8">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel sizing reset-size6 size8">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.3447em;"></span><span class="mord sizing reset-size6 size8"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.9338em;"><span style="top:-3.413em;margin-right:0.0347em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size8 size6 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="color:red;">m</span><span class="mord mtight">/</span><span class="mord mathnormal mtight" style="color:blue;">n</span></span></span></span></span></span></span></span></span></span></span></span></span> <!-- your content is injected here -->
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||
</article>
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</body></html> |