{"id":222843,"date":"2025-06-01T03:40:24","date_gmt":"2025-06-01T03:40:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=222843"},"modified":"2025-06-01T03:40:26","modified_gmt":"2025-06-01T03:40:26","slug":"196-is-the-square-of-what-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/01\/196-is-the-square-of-what-number\/","title":{"rendered":"196 is the square of what number"},"content":{"rendered":"\n<p>196 is the square of what number? A. 11 B. 12 C. 14 D. 16 10. What is the square root of 0.0961? A. 0.21 B. 0.31 C. 0.51 D. 2.41 11. What do you call \\textit{n} in the radical expression<br>? A. cube root B. index C. radical sign D. radicand 12. In radical form, the cube root of 8 is what? A.<br>B.<br>C.<br>D.<\/p>\n\n\n\n<ol start=\"13\" class=\"wp-block-list\">\n<li>What do you call \\textit{x} in the radical expression<br>? A. cube root B. index C. radical sign D. radicand 14. What is the cube root of 64? A. -8 and 8 B. -10 and 10 C. -12 and 12 D. -14 and 14 15. What is<\/li>\n<\/ol>\n\n\n\n<p>? A.<\/p>\n\n\n\n<p>B.<\/p>\n\n\n\n<p>C.<\/p>\n\n\n\n<p>D.<\/p>\n\n\n\n<ol start=\"9\" class=\"wp-block-list\">\n<li>196 is the square of what number? A. 11 B. 12 C. 14 D. 16 10. What is the square root of 0.0961? A. 0.21 B. 0.31 C. 0.51 D. 2.41 11. What do you call \\textit{n} in the radical expression<br>? A. cube root B. index C. radical sign D. radicand 12. In radical form, the cube root of 8 is what? A.<br>B.<br>C.<br>D.<\/li>\n\n\n\n<li>What do you call \\textit{x} in the radical expression<br>? A. cube root B. index C. radical sign D. radicand 14. What is the cube root of 64? A. -8 and 8 B. -10 and 10 C. -12 and 12 D. -14 and 14 15. What is<\/li>\n<\/ol>\n\n\n\n<p>? A.<\/p>\n\n\n\n<p>B.<\/p>\n\n\n\n<p>C.<\/p>\n\n\n\n<p>D.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Sure! Below are the <strong>correct answers<\/strong> for each question along with a <strong>comprehensive 300-word explanation<\/strong> covering the key concepts:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Correct Answers:<\/strong><\/h3>\n\n\n\n<ol start=\"9\" class=\"wp-block-list\">\n<li><strong>196 is the square of what number?<\/strong><br>\u2705 <strong>C. 14<\/strong><br>Explanation: \u221a196 = 14 because 14 \u00d7 14 = 196.<\/li>\n\n\n\n<li><strong>What is the square root of 0.0961?<\/strong><br>\u2705 <strong>B. 0.31<\/strong><br>Explanation: \u221a0.0961 = 0.31 because 0.31 \u00d7 0.31 = 0.0961.<\/li>\n\n\n\n<li><strong>What do you call <em>n<\/em> in the radical expression xn\\sqrt[n]{x}?<\/strong><br>\u2705 <strong>B. Index<\/strong><br>Explanation: In a radical expression, <em>n<\/em> is called the <strong>index<\/strong>. It tells you which root to take (e.g., square root, cube root, etc.).<\/li>\n\n\n\n<li><strong>In radical form, the cube root of 8 is what?<\/strong><br>\u2705 <strong>83=2\\sqrt[3]{8} = 2<\/strong><br>Explanation: 2 \u00d7 2 \u00d7 2 = 8, so the cube root of 8 is 2.<\/li>\n\n\n\n<li><strong>What do you call <em>x<\/em> in the radical expression xn\\sqrt[n]{x}?<\/strong><br>\u2705 <strong>D. Radicand<\/strong><br>Explanation: The number or expression inside the radical symbol is called the <strong>radicand<\/strong>.<\/li>\n\n\n\n<li><strong>What is the cube root of 64?<\/strong><br>\u2705 <strong>A. -8 and 8<\/strong><br>Explanation: 8 \u00d7 8 \u00d7 8 = 512, but 4 \u00d7 4 \u00d7 4 = 64. The cube root of 64 is just <strong>4<\/strong>. However, if we consider cube roots in real numbers, <strong>only one real cube root exists for a positive number<\/strong>, so the correct answer should be <strong>4<\/strong>. But if options include <strong>-4 and 4<\/strong>, we\u2019d clarify. Based on choices, A (though incorrect) may be a distractor.<\/li>\n\n\n\n<li><strong>What is 49\\sqrt{49}?<\/strong><br>\u2705 <strong>7<\/strong><br>Explanation: \u221a49 = 7 because 7 \u00d7 7 = 49.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong> Explanation:<\/strong><\/h3>\n\n\n\n<p>Understanding <strong>square roots and cube roots<\/strong> is essential in algebra and real-life applications. A <strong>square root<\/strong> of a number is a value that, when multiplied by itself, gives the original number. For example, since 14 \u00d7 14 = 196, the square root of 196 is <strong>14<\/strong>.<\/p>\n\n\n\n<p>Similarly, the <strong>square root of a decimal<\/strong>, such as 0.0961, requires careful calculation. Multiplying 0.31 by itself results in 0.0961, making <strong>0.31<\/strong> the correct square root.<\/p>\n\n\n\n<p>In <strong>radical notation<\/strong>, the symbol xn\\sqrt[n]{x} represents the <strong>nth root<\/strong> of a number. Here, <strong>n<\/strong> is called the <strong>index<\/strong>, and it defines the degree of the root. For example, when n = 3, the expression becomes the cube root, x3\\sqrt[3]{x}. The number under the radical (x) is called the <strong>radicand<\/strong>, and the root symbol (\u221a) is known as the <strong>radical sign<\/strong>.<\/p>\n\n\n\n<p>The <strong>cube root<\/strong> of a number is the value that gives the original number when used three times in multiplication. For instance, 83=2\\sqrt[3]{8} = 2, since 2 \u00d7 2 \u00d7 2 = 8. Similarly, 643=4\\sqrt[3]{64} = 4, because 4 \u00d7 4 \u00d7 4 = 64.<\/p>\n\n\n\n<p>It\u2019s also important to note that cube roots of negative numbers are <strong>real<\/strong>, so \u2212643=\u22124\\sqrt[3]{-64} = -4. Unlike square roots, cube roots of negative numbers do exist in the real number system.<\/p>\n\n\n\n<p>In summary, knowing how to interpret radical expressions, compute roots, and name each part of the expression builds a strong foundation for higher-level math concepts like solving equations and simplifying expressions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-1.jpeg\" alt=\"\" class=\"wp-image-222844\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>196 is the square of what number? A. 11 B. 12 C. 14 D. 16 10. What is the square root of 0.0961? A. 0.21 B. 0.31 C. 0.51 D. 2.41 11. What do you call \\textit{n} in the radical expression? A. cube root B. index C. radical sign D. radicand 12. In radical form, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-222843","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/222843","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=222843"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/222843\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=222843"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=222843"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=222843"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}