{"id":4548,"date":"2013-06-29T06:43:43","date_gmt":"2013-06-29T06:43:43","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=4548"},"modified":"2026-03-28T11:12:59","modified_gmt":"2026-03-28T16:12:59","slug":"square-root-and-perfect-square","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/square-root-and-perfect-square\/","title":{"rendered":"Perfect Squares and Square Roots"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_Grpqwt0Eh6I\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_Grpqwt0Eh6I\" data-source-videoID=\"Grpqwt0Eh6I\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Perfect Squares and Square Roots Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Perfect Squares and Square Roots\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_Grpqwt0Eh6I:hover {cursor:pointer;} img#videoThumbnailImage_Grpqwt0Eh6I {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/07\/updated-perfect-squares-and-square-roots-64c14790d341a.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_Grpqwt0Eh6I\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_Grpqwt0Eh6I\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Perfect Squares and Square Roots\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_Grpqwt0Eh6I\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_Grpqwt0Eh6I\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_Grpqwt0Eh6I\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction 7Kd_Function() {\n  var x = document.getElementById(\"7Kd\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"7Kd_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"7Kd\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Terminology\" class=\"smooth-scroll\">Terminology<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Finding_the_Square_Root\" class=\"smooth-scroll\">Finding the Square Root<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Simplifying_Square_Roots\" class=\"smooth-scroll\">Simplifying Square Roots<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Frequently_Asked_Questions\" class=\"smooth-scroll\">Frequently Asked Questions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Perfect_Squares_and_Square_Root_Practice_Questions\" class=\"smooth-scroll\">Perfect Squares and Square Root Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"FAQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"FAQs\">FAQs<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hello, in this video, we will explore how to simplify <strong>square roots<\/strong> and find <strong>perfect squares<\/strong>.<\/p>\n<h2><span id=\"Terminology\" class=\"m-toc-anchor\"><\/span>Terminology<\/h2>\n<p>\nThe symbol in math that we use to represent square roots is called a <strong>radical<\/strong>, and it looks like this: \\(\\sqrt{}\\). The number that appears under the radical is called the <strong>radicand<\/strong>.<\/p>\n<p>For example, in this expression, \\(\\sqrt{20}\\), which we read as, \u201cthe square root of twenty,\u201d 20 is the radicand. Just like the fact that 20 is the same as \\(\\frac{20}{1}\\), or \\(20^{1}\\), but we don\u2019t write the 1, because it is a given, in square roots there is something similar.<\/p>\n<p>There is a given 2 in the bent arm of the radical that we do not normally write when we are looking for a square root, \\(\\sqrt[2]{}\\). This number is called the <strong>index<\/strong> and it determines what root of the radicand we are trying to find. For example, this: \\(\\sqrt{20}\\), is asking for the square root, or the second root of 20 and this: \\(\\sqrt[3]{125}\\), which we read as \u201cthe cube root of one hundred twenty-five,\u201d is asking us to find the third root of 125. <\/p>\n<p>I want you to practice this on your own. Pause the video and label the different parts of this expression: \\(\\sqrt[4]{200}\\).<\/p>\n<p>Think you\u2019ve got it? The root symbol is the radical. The index is 4 because it\u2019s the number in the bent arm of the radical. And the radicand is the number under the radical symbol, so in this case, 200.<\/p>\n<div class=\"examplesentence\">\\(\\sqrt{}\\) \u2013 radical<br \/>\n4 \u2013 index<br \/>\n200 \u2013 radicand<\/div>\n<p>\n&nbsp;<br \/>\nGreat work!<\/p>\n<h2><span id=\"Finding_the_Square_Root\" class=\"m-toc-anchor\"><\/span>Finding the Square Root<\/h2>\n<p>\nNow let\u2019s talk about how we find the square root of a number. To do this, we ask ourselves, \u201cwhat number multiplied by itself will give us the radicand?\u201d<\/p>\n<p>For example, what is the square root of 25: \\(\\sqrt{25}\\)? The factors of 25 are \\(5\\times 5\\), which means that the square root of 25 is 5. This also happens to be what we call a perfect square. A <em>perfect square<\/em> is when we are simplifying a square root and nothing remains under the radical.<\/p>\n<p>What are the square roots of 36, 81, and 144? Pause the video and try these on your own. When you\u2019re finished, we\u2019ll look over them together.<\/p>\n<div class=\"examplesentence\">\\(\\sqrt{36}=6\\)&nbsp;because \\(6\\times 6=36\\)<br \/>\n\\(\\sqrt{81}=9\\)&nbsp;because \\(9\\times 9=81\\)<br \/>\n\\(\\sqrt{144}=12\\)&nbsp;because \\(12\\times 12=144\\)<\/div>\n<p>\n&nbsp;<br \/>\nWe get these nice, pretty numbers because we are taking the square roots of perfect squares. But what if we aren\u2019t given a perfect square? Well, then we will have to simplify the square root. <\/p>\n<h2><span id=\"Simplifying_Square_Roots\" class=\"m-toc-anchor\"><\/span>Simplifying Square Roots<\/h2>\n<p>\nWhen simplifying a square root, we will get all the perfect squares out from under the radical and whatever is remaining from the factors of the radicand stays under the radical. Let\u2019s look at an example.<\/p>\n<p>Simplify the square root of 40: \\(\\sqrt{40}\\). <\/p>\n<p>We will start by finding the factors of 40, which are \\({2}\\times {2}\\times {2}\\times{5}\\). <\/p>\n<p>Since \\(2\\times{2}\\) creates a perfect square, we can bring the 2 to the front and what remains under the radical is \\(2\\times{5}\\). <\/p>\n<p>There are no more perfect squares to take out, so we simply multiply these numbers together to get our new radicand. <\/p>\n<p>Therefore, the square root of 40 is equal to 2 square root of 10: \\(\\sqrt{40}\\) = \\(2\\sqrt{10}\\).<\/p>\n<p>Now I want you to try one. Simplify the square root of 96: 96. Pause the video here and simplify. When you\u2019re done, we\u2019ll take a look at it together.<\/p>\n<p>Think you\u2019ve got it? First, we need to find the factors of 96. <\/p>\n<div class=\"examplesentence\">\\(96 = 2 \\times {2}\\times {2}\\times {2} \\times {2}\\times{ 3}\\)<\/div>\n<p>\n&nbsp;<br \/>\nIt is easy to see the perfect squares when the factors are written in this form. We can pull out two sets of 2 from our radicand, which will leave us with \\(2\\times{2}=4\\) in front of our new radical. We still have a 2 and a 3 from our factor list, so we multiply these numbers together to get 6, and this is our new radicand. Therefore, the most simplified form is: <\/p>\n<div class=\"examplesentence\">\\(\\sqrt{96}= 4\\sqrt{6}\\)<\/div>\n<p>\n&nbsp;<br \/>\nI hope this video on square roots and perfect squares was helpful. Thanks for watching, and happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"FAQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Frequently_Asked_Questions\" class=\"m-toc-anchor\"><\/span>Frequently Asked Questions<\/h2>\n<div class=\"faq-list\">\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do I find a square root?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The square root is the inverse of squaring a number. When we square a number we multiply the number by itself.<\/p>\n<p>For example, 4 squared (4<sup>2<\/sup>) is \\(4\\times4\\), which equals 16, which is a perfect square. This also means that 4 is the square root of 16.<\/p>\n<p>Not all numbers will have a nice whole number square root. For example, a number like 50 is not a perfect square because it does not have an integer square root. There is no way to multiply an integer by itself to create a product of 50.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What are the whole number square roots from 1 to 20?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The whole number square roots from 1 to 20 are \\(\\sqrt1=1\\), \\(\\sqrt4=2\\), \\(\\sqrt9=3\\), and \\(\\sqrt{16}=4\\).<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What are numbers with integer square roots?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Numbers with integer square roots are called perfect squares.<\/p>\n<p>For example, 64 is a number with an integer square root. 64 is the product of \\(8\\times8\\). When a number can be created by multiplying an integer by itself, it is called a perfect square.<\/p>\n<p>Examples of numbers with integer square roots are 1, 4, 9, 16, and 25. All of these numbers have integer square roots.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What are the first 20 perfect squares?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The first 20 perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, and 400.<\/p>\n<p>Perfect squares can be thought of as literal squares. A square is created using two equal integers as side lengths. This means that the result, or product, will be a perfect square.<\/p>\n<p><img decoding=\"async\" class=\" wp-image-141400 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/09\/I09063.png\" alt=\"four perfect squares with individual squares\" width=\"485.35\" height=\"245.65\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/09\/I09063.png 650w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/09\/I09063-300x152.png 300w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What are the perfect squares from 1 to 100?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>There are only ten perfect squares from 1 to 100. 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100. These perfect squares are the result of multiplying a number by itself.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you determine perfect squares?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Numbers that are considered perfect squares are the result of multiplying an integer by itself.<\/p>\n<p>For example, 25 is a perfect square because it is the product of \\(5\\times5\\).<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">Why are there no perfect squares between 144 and 169?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Perfect squares come from squaring whole numbers. Since 144 is 12<sup>2<\/sup> and 169 is 13<sup>2<\/sup>, and there is no whole number between 12 and 13, there is no number whose square can fall between 144 and 169.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Perfect_Squares_and_Square_Root_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Perfect Squares and Square Root Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich set of numbers contains all perfect squares?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">33, 99, 55, 66<\/div><div class=\"PQ\"  id=\"PQ-1-2\">33, 99, 55, 66<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-3\">36, 9, 25, 100<\/div><div class=\"PQ\"  id=\"PQ-1-4\">81, 36, 25, 41<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The number 36 is a perfect square composed of \\(6\u00d76\\), 9 is a perfect square composed of \\(3\u00d73\\), 25 is a perfect square composed of \\(5\u00d75\\), and 100 is a perfect square composed of \\(10\u00d710\\).<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich pair shows a correct match between the perfect square and its whole number square root?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-2-1\">\\(\\sqrt{144}=12\\)<\/div><div class=\"PQ\"  id=\"PQ-2-2\">\\(\\sqrt{36}=2\\)<\/div><div class=\"PQ\"  id=\"PQ-2-3\">\\(\\sqrt{25}=4\\)<\/div><div class=\"PQ\"  id=\"PQ-2-4\">\\(\\sqrt{100}=11\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The number 144 is a perfect square composed of \\(12\u00d712\\). The number 36 is a perfect square, but it is not composed of \\(2\u00d72\\). It is instead composed of \\(6\u00d76\\). The number 25 is a perfect square, but it is not composed of \\(4\u00d74\\). It is instead composed of \\(5\u00d75\\).<\/p>\n<p>The number 100 is a perfect square, but it is not composed of \\(11\u00d711\\). It is instead composed of \\(10\u00d710\\).<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhat is the square root of 49?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">6<\/div><div class=\"PQ\"  id=\"PQ-3-2\">4<\/div><div class=\"PQ\"  id=\"PQ-3-3\">5<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-4\">7<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The square root of 49 is 7, because \\(7\u00d77=49\\). This also means that 49 is a perfect square.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich value is NOT a perfect square?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">81<\/div><div class=\"PQ\"  id=\"PQ-4-2\">100<\/div><div class=\"PQ\"  id=\"PQ-4-3\">64<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-4\">99<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>Because there is no whole number that can be multiplied by itself to equal 99, it is not a perfect square.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich pair shows an incorrect match between the perfect square and its whole number square root?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">\\(\\sqrt{49}\\) and \\(7\\)<\/div><div class=\"PQ\"  id=\"PQ-5-2\">\\(\\sqrt{4}\\) and \\(2\\)<\/div><div class=\"PQ\"  id=\"PQ-5-3\">\\(\\sqrt{64}\\) and \\(8\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-4\">\\(\\sqrt{9}\\) and \\(6\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The square root of 9 is a perfect square, but it is composed of \\(3\u00d73\\), not \\(6\u00d76\\).<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/pre-algebra\/\">Return to Pre-Algebra Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Pre-Algebra Videos<\/p>\n","protected":false},"author":1,"featured_media":187109,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-4548","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-exponents-and-radicals","7":"page_category-math-advertising-group","8":"page_category-pre-algebra-rational-numbers-videos","9":"page_type-video","10":"content_type-practice-questions","11":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4548","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=4548"}],"version-history":[{"count":8,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4548\/revisions"}],"predecessor-version":[{"id":281522,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4548\/revisions\/281522"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/187109"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=4548"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}