{"id":259350,"date":"2025-07-19T00:11:25","date_gmt":"2025-07-19T00:11:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=259350"},"modified":"2025-07-19T00:11:28","modified_gmt":"2025-07-19T00:11:28","slug":"what-are-the-square-roots-of-4-and-49","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/19\/what-are-the-square-roots-of-4-and-49\/","title":{"rendered":"What are the square roots of 4 and 49"},"content":{"rendered":"\n<p>What are the square roots of 4 and 49<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The square roots of 4 and 49 are 2 and 7, respectively.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The square root of a number is a value that, when multiplied by itself, gives the original number. Mathematically, the square root of a number <em>n<\/em> is represented as \u221an.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Square root of 4<\/strong>: The square root of 4 is the number that, when multiplied by itself, equals 4.\n<ul class=\"wp-block-list\">\n<li>4=2\\sqrt{4} = 24\u200b=2, because 2\u00d72=42 \\times 2 = 42\u00d72=4.<\/li>\n\n\n\n<li>Another way to think about this is that 4 can be written as 222^222, so the square root of 4 is just 2.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Square root of 49<\/strong>: The square root of 49 is the number that, when multiplied by itself, equals 49.\n<ul class=\"wp-block-list\">\n<li>49=7\\sqrt{49} = 749\u200b=7, because 7\u00d77=497 \\times 7 = 497\u00d77=49.<\/li>\n\n\n\n<li>You could also express 49 as 727^272, which directly shows that the square root of 49 is 7.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>In both cases, we\u2019re looking for a number that can &#8220;reverse&#8221; the effect of squaring (multiplying a number by itself). The square root is always a non-negative number, and in these examples, both 2 and 7 are positive. For any positive number nnn, the square root will be positive, but there is also a negative square root. In this case, the negative square roots of 4 and 49 are -2 and -7, respectively, but we usually refer to the principal (positive) square root unless specified otherwise.<\/p>\n\n\n\n<p>This property of square roots is important in many areas of mathematics, including algebra, geometry, and calculus, as it helps simplify equations and solve for unknowns.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-944.jpeg\" alt=\"\" class=\"wp-image-259351\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What are the square roots of 4 and 49 The Correct Answer and Explanation is: The square roots of 4 and 49 are 2 and 7, respectively. Explanation: The square root of a number is a value that, when multiplied by itself, gives the original number. Mathematically, the square root of a number n is [&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-259350","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/259350","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=259350"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/259350\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=259350"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=259350"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=259350"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}