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diff --git a/lessons/matematika/pangkat-akar/akar.html b/lessons/matematika/pangkat-akar/akar.html new file mode 100644 index 0000000..b519d5e --- /dev/null +++ b/lessons/matematika/pangkat-akar/akar.html @@ -0,0 +1,112 @@ +<!DOCTYPE html> +<html lang="en"> + +<head> + <meta charset="UTF-8"> + <meta http-equiv="X-UA-Compatible" content="IE=edge"> + <meta name="viewport" content="width=device-width, initial-scale=1.0"> + <link rel="stylesheet" href="/style.css"> + <link rel="icon" href="/assets/images/master.png"> + <title>Al Azhar 9th Grade Lesson Notes</title> + <link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png"> + <link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png"> + <link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png"> + <link rel="manifest" href="/site.webmanifest"> + <script src="https://kit.fontawesome.com/d279a1f519.js" crossorigin="anonymous"></script> +</head> + +<body> + <a class="fixed-top-btn menu-btn" onclick="toggleNav()" href="javascript:void(0)"><i + class="fa-solid fa-bars"></i></a> + <a href="../" class="fixed-top-btn back-btn" id="backbtn"><i class="fa-solid fa-chevron-left"></i></a> + <div id="console"></div> + <div id="sidebar"> + <a href="/index.html"> + <img src="/assets/images/master.png" alt="" class="sidebar-logo"> + </a> + <h3 id="title" class="align-center">Al Azhar 9th Grade Lesson Notes</h3> + <hr class="divider"> + <a href="/about/author.html" class="sidebar-link link">About the Author</a> + <a href="/about/school.html" class="sidebar-link link">About School</a> + <a href="/lessons" class="sidebar-link link">Lessons</a> + + <hr class="divider"> + <div id="toc"> + <h4>Table of Contents</h4> + </div> + </div> + + <div class="banner-container" id="banner"> + <div class="banner-bg" id="img-supplies"></div> + <h1 class="banner-text" id="banner-txt">Bentuk Pangkat dan Akar: Root</h1> + </div> + + <div id="main"> + <section> + <h1 id="definition">Definition</h1> + Root is the inverse of exponent. For example;<br> + <ul> + <li>4<sup>2</sup> = 16, <b>so <span class="root">16</span> = 4</b></li> + <li>5<sup>2</sup> = 25, <b>so <span class="root">25</span> = 5</b></li> + <li>10<sup>2</sup> = 100, <b>so <span class="root">100</span> = 10</b></li> + </ul> + + <h1 id="simplification">Simplifying Square Roots</h1> + You can simplify a root by factoring the root number another number that is rational. Or in other words, divide the root number by the perfect squares. For example; + <ul> + <li> + <strong>Simplify <span class="root">60</span></strong><br> + <span class="root">60</span> = <span class="root">4 × 15</span> = 2<span class="root">15</span><br> + </li> + <li> + <strong>Simplify <span class="root">48</span></strong><br> + <span class="root">48</span> = <span class="root">16 × 3</span> = 4<span class="root">3</span><br> + </li> + <li> + <strong>Simplify <span class="root">125</span></strong><br> + <span class="root">125</span> = <span class="root">25 × 5</span> = 5<span class="root">5</span><br> + </li> + </ul> + + <h1 id="root-operations">Root Operations</h1> + <h2 id="root-operations--addition">Addition</h2> + Roots with coefficient can be added with another coefficient that have the same roots. <br> + <strong>a<span class="root">c</span> + b<span class="root">c</span> = (a + b)<span class="root">c</span></strong> + <ul> + <li>3<span class="root">2</span> + 4<span class="root">2</span> = (3 + 4)<span class="root">2</span> = <strong>7<span class="root">2</span></strong></li> + <li><span class="root">5</span> + 3<span class="root">5</span> = (1 + 3)<span class="root">5</span> = <strong>4<span class="root">5</span></strong></li> + </ul> + <h2 id="root-operations--subtraction">Subtraction</h2> + Roots with coefficient can be subtracted with another coefficient that have the same roots. <br> + <strong>a<span class="root">c</span> - b<span class="root">c</span> = (a - b)<span class="root">c</span></strong> + <ul> + <li>7<span class="root">3</span> - 4<span class="root">3</span> = (7 - 4)<span class="root">3</span> = <strong>3<span class="root">2</span></strong></li> + <li>10<span class="root">6</span> - 5<span class="root">6</span> = (10 - 5)<span class="root">6</span> = <strong>5<span class="root">6</span></strong></li> + </ul> + <h2 id="root-operations--multiplication">Multiplication</h2> + Roots can be multiplied with any other roots. If the root is the same as the other multiplied root, the root can be deleted (if you want to be faster). <br> + <strong>a<span class="root">c</span> × b<span class="root">d</span> = (a × b)<span class="root">c × d</span></strong> + <ul> + <li><span class="root">2</span> × <span class="root">5</span> = <strong><span class="root">10</span></strong></li> + <li>3<span class="root">2</span> × 4<span class="root">3</span> = (3 × 4)<span class="root">2 × 3</span> = <strong>12<span class="root">6</span></strong></li> + <li>2<span class="root">5</span> × 3<span class="root">5</span> = (2 × 3)(5) = 6(5) = <strong>30</strong></li> + </ul> + <h2 id="root-operations--division">Division</h2> + Roots can be divided with any other roots. <br> + <strong>a<span class="root">c</span> ÷ b<span class="root">d</span> = (a ÷ b)<span class="root">c ÷ d</span></strong> + <ul> + <li> + <span class="root">12</span> ÷ <span class="root">3</span> = <strong><span class="root">2</span></strong> + </li> + <li> + 8<span class="root">6</span> ÷ 4<span class="root">3</span> = (8 ÷ 4)<span class="root">6 ÷ 3</span> = <strong>2<span class="root">2</span></strong> + </li> + </ul> + </section> + </div> + + <script src="/scripts/toc.js"></script> + <script src="/scripts/sidebar.js"></script> +</body> + +</html>
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