Unlocked website, added rationalising roots

49 files changed, 51 insertions, 7 deletions

diff --git a/index.html b/index.html
index a40f4fc..9dc01cd 100644
--- a/index.html
+++ b/index.html
@@ -70,8 +70,6 @@
                         class="fa-brands fa-github"></i>
                     https://github.com/Al-Azhar-Notes/al-azhar-notes.github.io</a>
             </p>
-            <h1 id="locked">🔒 This website is temporarily locked.</h1>
-            <!--
             <h1 style="display: inline;" id="lessons">Lessons</h1> <a href="/lessons/"><span
                     style="margin-left: 10px;"><i class="fa-solid fa-arrow-up-right-from-square"></i></span></a>
             <div class="card-container">
@@ -187,7 +185,7 @@
                     </a>
                     <p>Supatri, S.Pd</p>
                 </div>
-            </div>-->
+            </div>
             <h1 id="contributors">Credits & Contributors</h1>
             <div class="flex">
                 <img src="/assets/images/me.png" alt="" class="circle flex-element" style="height: 180px;">
@@ -275,4 +273,4 @@
     <script src="/scripts/sidebar.js"></script>
 </body>
 
-</html>
\ No newline at end of file
+</html>
diff --git a/lessons-locked/agama/index.html b/lessons/agama/index.html
index 5625193..5625193 100644
--- a/lessons-locked/agama/index.html
+++ b/lessons/agama/index.html
diff --git a/lessons-locked/agama/kiamat/index.html b/lessons/agama/kiamat/index.html
index ed7cc01..ed7cc01 100644
--- a/lessons-locked/agama/kiamat/index.html
+++ b/lessons/agama/kiamat/index.html
diff --git a/lessons-locked/agama/qurban/1.html b/lessons/agama/qurban/1.html
index eabd317..eabd317 100644
--- a/lessons-locked/agama/qurban/1.html
+++ b/lessons/agama/qurban/1.html
diff --git a/lessons-locked/agama/qurban/2.html b/lessons/agama/qurban/2.html
index cf43477..cf43477 100644
--- a/lessons-locked/agama/qurban/2.html
+++ b/lessons/agama/qurban/2.html
diff --git a/lessons-locked/agama/zakat/index.html b/lessons/agama/zakat/index.html
index 802742c..802742c 100644
--- a/lessons-locked/agama/zakat/index.html
+++ b/lessons/agama/zakat/index.html
diff --git a/lessons-locked/arab/chapter/note.html b/lessons/arab/chapter/note.html
index e2d3780..e2d3780 100644
--- a/lessons-locked/arab/chapter/note.html
+++ b/lessons/arab/chapter/note.html
diff --git a/lessons-locked/arab/index.html b/lessons/arab/index.html
index 7215a93..7215a93 100644
--- a/lessons-locked/arab/index.html
+++ b/lessons/arab/index.html
diff --git a/lessons-locked/biologi/index.html b/lessons/biologi/index.html
index a45a6d1..a45a6d1 100644
--- a/lessons-locked/biologi/index.html
+++ b/lessons/biologi/index.html
diff --git a/lessons-locked/biologi/reproduction/introduction.html b/lessons/biologi/reproduction/introduction.html
index 0e77caa..0e77caa 100644
--- a/lessons-locked/biologi/reproduction/introduction.html
+++ b/lessons/biologi/reproduction/introduction.html
diff --git a/lessons-locked/biologi/reproduction/video-demonstrasi-proses-reproduksi.html b/lessons/biologi/reproduction/video-demonstrasi-proses-reproduksi.html
index c11f53b..c11f53b 100644
--- a/lessons-locked/biologi/reproduction/video-demonstrasi-proses-reproduksi.html
+++ b/lessons/biologi/reproduction/video-demonstrasi-proses-reproduksi.html
diff --git a/lessons-locked/english/chapter/note.html b/lessons/english/chapter/note.html
index e2d3780..e2d3780 100644
--- a/lessons-locked/english/chapter/note.html
+++ b/lessons/english/chapter/note.html
diff --git a/lessons-locked/english/index.html b/lessons/english/index.html
index c2478aa..c2478aa 100644
--- a/lessons-locked/english/index.html
+++ b/lessons/english/index.html
diff --git a/lessons-locked/fisika-locked/index.html b/lessons/fisika-locked/index.html
index ef2f85c..ef2f85c 100644
--- a/lessons-locked/fisika-locked/index.html
+++ b/lessons/fisika-locked/index.html
diff --git a/lessons-locked/fisika/atom/atom.html b/lessons/fisika/atom/atom.html
index ef70b0b..ef70b0b 100644
--- a/lessons-locked/fisika/atom/atom.html
+++ b/lessons/fisika/atom/atom.html
diff --git a/lessons-locked/fisika/atom/electron-config.html b/lessons/fisika/atom/electron-config.html
index 0ba12e4..0ba12e4 100644
--- a/lessons-locked/fisika/atom/electron-config.html
+++ b/lessons/fisika/atom/electron-config.html
diff --git a/lessons-locked/fisika/index.html b/lessons/fisika/index.html
index 13c6986..13c6986 100644
--- a/lessons-locked/fisika/index.html
+++ b/lessons/fisika/index.html
diff --git a/lessons-locked/fisika/static-electricity/coulomb.html b/lessons/fisika/static-electricity/coulomb.html
index b459cb5..b459cb5 100644
--- a/lessons-locked/fisika/static-electricity/coulomb.html
+++ b/lessons/fisika/static-electricity/coulomb.html
diff --git a/lessons-locked/fisika/static-electricity/id-coulomb.html b/lessons/fisika/static-electricity/id-coulomb.html
index a369cac..a369cac 100644
--- a/lessons-locked/fisika/static-electricity/id-coulomb.html
+++ b/lessons/fisika/static-electricity/id-coulomb.html
diff --git a/lessons-locked/fisika/static-electricity/id-theory.html b/lessons/fisika/static-electricity/id-theory.html
index acde0ab..acde0ab 100644
--- a/lessons-locked/fisika/static-electricity/id-theory.html
+++ b/lessons/fisika/static-electricity/id-theory.html
diff --git a/lessons-locked/fisika/static-electricity/theory.html b/lessons/fisika/static-electricity/theory.html
index 9bb09de..9bb09de 100644
--- a/lessons-locked/fisika/static-electricity/theory.html
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diff --git a/lessons-locked/index.html b/lessons/index.html
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--- a/lessons-locked/index.html
+++ b/lessons/index.html
diff --git a/lessons-locked/indonesia/index.html b/lessons/indonesia/index.html
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--- a/lessons-locked/indonesia/index.html
+++ b/lessons/indonesia/index.html
diff --git a/lessons-locked/indonesia/laporan-percobaan/pengertian.html b/lessons/indonesia/laporan-percobaan/pengertian.html
index a0a30b1..a0a30b1 100644
--- a/lessons-locked/indonesia/laporan-percobaan/pengertian.html
+++ b/lessons/indonesia/laporan-percobaan/pengertian.html
diff --git a/lessons-locked/informatika/chapter/note.html b/lessons/informatika/chapter/note.html
index e2d3780..e2d3780 100644
--- a/lessons-locked/informatika/chapter/note.html
+++ b/lessons/informatika/chapter/note.html
diff --git a/lessons-locked/informatika/index.html b/lessons/informatika/index.html
index 5b60d25..5b60d25 100644
--- a/lessons-locked/informatika/index.html
+++ b/lessons/informatika/index.html
diff --git a/lessons-locked/ips/chapter/note.html b/lessons/ips/chapter/note.html
index e2d3780..e2d3780 100644
--- a/lessons-locked/ips/chapter/note.html
+++ b/lessons/ips/chapter/note.html
diff --git a/lessons-locked/ips/index.html b/lessons/ips/index.html
index 50d6068..50d6068 100644
--- a/lessons-locked/ips/index.html
+++ b/lessons/ips/index.html
diff --git a/lessons-locked/lukis/chapter/note.html b/lessons/lukis/chapter/note.html
index e2d3780..e2d3780 100644
--- a/lessons-locked/lukis/chapter/note.html
+++ b/lessons/lukis/chapter/note.html
diff --git a/lessons-locked/lukis/index.html b/lessons/lukis/index.html
index ad0ab0e..ad0ab0e 100644
--- a/lessons-locked/lukis/index.html
+++ b/lessons/lukis/index.html
diff --git a/lessons-locked/matematika/index.html b/lessons/matematika/index.html
index 4c800ec..4c800ec 100644
--- a/lessons-locked/matematika/index.html
+++ b/lessons/matematika/index.html
diff --git a/lessons-locked/matematika/locked.html b/lessons/matematika/locked.html
index c6384ec..c6384ec 100644
--- a/lessons-locked/matematika/locked.html
+++ b/lessons/matematika/locked.html
diff --git a/lessons-locked/matematika/pangkat-akar/akar.html b/lessons/matematika/pangkat-akar/akar.html
index e7505de..1bacf4c 100644
--- a/lessons-locked/matematika/pangkat-akar/akar.html
+++ b/lessons/matematika/pangkat-akar/akar.html
@@ -13,6 +13,11 @@
     <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>
+    <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.16.8/dist/katex.css"
+        integrity="sha384-pRsDYiLLocCzWnUN/YEr9TBTTaZOUi5x8adKfqi6Qt44lDaFkoP++x1j2ohSMtdf" crossorigin="anonymous">
+    <script src="https://cdn.jsdelivr.net/npm/katex@0.16.8/dist/katex.js"
+        integrity="sha384-tMzugJpfLv7v0f+KXzNMqNCC6sVzLMM3sCnZDgzy0lcO/0h3sAkEBg/URFcV0JpE"
+        crossorigin="anonymous"></script>
 </head>
 
 <body>
@@ -114,6 +119,47 @@
                     8<span class="sroot">6</span> &divide; 4<span class="sroot">3</span> = (8 &divide; 4)<span class="sroot">6 &divide; 3</span> = <strong>2<span class="sroot">2</span></strong>
                 </li>
             </ul>
+
+	    <h2 id="rationalising">Rationalising Roots</h2>
+	    <p>We can rationalise or simplify a fraction with a root denominator. To rationalise a root, multiply the fraction with a fraction of opposite roots. For example:</p>
+	    <p><b>Example 1:</b></p>
+	    <span id="id1"></span>
+            <script defer>
+                var element = document.getElementById("id1");
+		katex.render(String.raw`\dfrac{3}{\sqrt{5}}\\
+		= \dfrac{3}{\sqrt{5}} \times \dfrac{\sqrt{5}}{\sqrt{5}}\\
+		= \dfrac{3\sqrt{5}}{5}
+		`, element, {
+                    throwOnError: false
+                });
+            </script>
+	    <p><b>Example 2:</b></p>
+	    <span id="id2"></span>
+            <script defer>
+                var element = document.getElementById("id2");
+		katex.render(String.raw`\dfrac{2}{3\sqrt{6}}\\
+		= \dfrac{2}{3\sqrt{6}} \times \dfrac{\sqrt{6}}{\sqrt{6}}\\
+		= \dfrac{2\sqrt{6}}{3 \cdot 6}\\
+		= \dfrac{2\sqrt{6}}{18}\\
+		= \dfrac{1}{9}\sqrt{6}
+		`, element, {
+                    throwOnError: false
+                });
+            </script>
+	    <p><b>Example 3:</b></p>
+	    <span id="id3"></span>
+            <script defer>
+                var element = document.getElementById("id3");
+		katex.render(String.raw`\dfrac{8}{3 + \sqrt{7}}\\
+		= \dfrac{8}{3 + \sqrt{7}} \times \dfrac{3 - \sqrt{7}}{3 - \sqrt{7}}\\
+		= \dfrac{8(3 \cdot \sqrt{7})}{(3 \cdot \sqrt{7})(3 \cdot \sqrt{7})}\\
+		= \dfrac{8(3 \cdot \sqrt{7})}{9 - 3\sqrt{7} + 3\sqrt{7} - 7}\\
+		= \dfrac{8(3 \cdot \sqrt{7})}{9 - 7}\\
+		= \dfrac{8(3 \cdot \sqrt{7})}{2}
+		`, element, {
+                    throwOnError: false
+                });
+            </script>
         </section>
     </div>
 
@@ -121,4 +167,4 @@
     <script src="/scripts/sidebar.js"></script>
 </body>
 
-</html>
\ No newline at end of file
+</html>
diff --git a/lessons-locked/matematika/pangkat-akar/latihan.html b/lessons/matematika/pangkat-akar/latihan.html
index 6bdae1d..6bdae1d 100644
--- a/lessons-locked/matematika/pangkat-akar/latihan.html
+++ b/lessons/matematika/pangkat-akar/latihan.html
diff --git a/lessons-locked/matematika/pangkat-akar/pangkat.html b/lessons/matematika/pangkat-akar/pangkat.html
index 7293e93..e8362dd 100644
--- a/lessons-locked/matematika/pangkat-akar/pangkat.html
+++ b/lessons/matematika/pangkat-akar/pangkat.html
@@ -12,7 +12,7 @@
     <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>
+    <script defer src="https://kit.fontawesome.com/d279a1f519.js" crossorigin="anonymous"></script>
 </head>
 
 <body>
@@ -136,4 +136,4 @@
     <script src="/scripts/sidebar.js"></script>
 </body>
 
-</html>
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+</html>
diff --git a/lessons-locked/matematika/pangkat-akar/scientific.html b/lessons/matematika/pangkat-akar/scientific.html
index 9394f6e..9394f6e 100644
--- a/lessons-locked/matematika/pangkat-akar/scientific.html
+++ b/lessons/matematika/pangkat-akar/scientific.html
diff --git a/lessons-locked/matematika/quadratic-equation/finding-suitable.html b/lessons/matematika/quadratic-equation/finding-suitable.html
index 9e13f01..9e13f01 100644
--- a/lessons-locked/matematika/quadratic-equation/finding-suitable.html
+++ b/lessons/matematika/quadratic-equation/finding-suitable.html
diff --git a/lessons-locked/matematika/quadratic-equation/index.html b/lessons/matematika/quadratic-equation/index.html
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--- a/lessons-locked/matematika/quadratic-equation/index.html
+++ b/lessons/matematika/quadratic-equation/index.html
diff --git a/lessons-locked/matematika/quadratic-function/index.html b/lessons/matematika/quadratic-function/index.html
index 728d1af..728d1af 100644
--- a/lessons-locked/matematika/quadratic-function/index.html
+++ b/lessons/matematika/quadratic-function/index.html
diff --git a/lessons-locked/musik/chapter/note.html b/lessons/musik/chapter/note.html
index e2d3780..e2d3780 100644
--- a/lessons-locked/musik/chapter/note.html
+++ b/lessons/musik/chapter/note.html
diff --git a/lessons-locked/musik/index.html b/lessons/musik/index.html
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--- a/lessons-locked/musik/index.html
+++ b/lessons/musik/index.html
diff --git a/lessons-locked/pjok/chapter/note.html b/lessons/pjok/chapter/note.html
index e2d3780..e2d3780 100644
--- a/lessons-locked/pjok/chapter/note.html
+++ b/lessons/pjok/chapter/note.html
diff --git a/lessons-locked/pjok/index.html b/lessons/pjok/index.html
index 6401d4e..6401d4e 100644
--- a/lessons-locked/pjok/index.html
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diff --git a/lessons-locked/ppkn/chapter/note.html b/lessons/ppkn/chapter/note.html
index e2d3780..e2d3780 100644
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diff --git a/lessons-locked/quran/chapter/note.html b/lessons/quran/chapter/note.html
index e2d3780..e2d3780 100644
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index 06630f8..06630f8 100644
--- a/lessons-locked/quran/index.html
+++ b/lessons/quran/index.html
diff --git a/lessons-locked/subject/chapter/note.html b/lessons/subject/chapter/note.html
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+++ b/lessons/subject/chapter/note.html
diff --git a/lessons-locked/subject/index.html b/lessons/subject/index.html
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--- a/lessons-locked/subject/index.html
+++ b/lessons/subject/index.html