Answer:<\/strong><\/p>\n\n\n\n Explanation<\/strong><\/p>\n\n\n\n To find the square root of a number means to determine what number, when multiplied by itself, equals the original number. In mathematical terms, ifx2=1600,x^2 = 1600,x2=1600,<\/p>\n\n\n\n thenx=1600.x = \\sqrt{1600}.x=1600\u200b.<\/p>\n\n\n\n Let\u2019s go step-by-step.<\/p>\n\n\n\n First, recognize that 1600 is a perfect square<\/strong>, meaning it is the product of an integer multiplied by itself. To confirm this, factor 1600 to see if it can be written as the square of a whole number.<\/p>\n\n\n\n Start by simplifying:1600=16\u00d71001600 = 16 \\times 1001600=16\u00d7100<\/p>\n\n\n\n Both 16 and 100 are perfect squares:<\/p>\n\n\n\n Now apply the square root to each factor:1600=16\u00d7100=16\u00d7100=4\u00d710=40\\sqrt{1600} = \\sqrt{16 \\times 100} = \\sqrt{16} \\times \\sqrt{100} = 4 \\times 10 = 401600\u200b=16\u00d7100\u200b=16\u200b\u00d7100\u200b=4\u00d710=40<\/p>\n\n\n\n Thus,1600=40\\sqrt{1600} = 401600\u200b=40<\/p>\n\n\n\n This means that 40 \u00d7 40 = 1600. When checking square roots, always multiply the result by itself to verify that it returns the original number:40\u00d740=160040 \\times 40 = 160040\u00d740=1600<\/p>\n\n\n\n This confirms the answer is correct.<\/p>\n\n\n\n Additional Tip:<\/strong> To take the square root, divide each exponent by 2:26\u00d752=23\u00d75=8\u00d75=40\\sqrt{2^6 \\times 5^2} = 2^3 \\times 5 = 8 \\times 5 = 4026\u00d752\u200b=23\u00d75=8\u00d75=40<\/p>\n\n\n\n This is another way to verify that the square root of 1600 is 40<\/strong>.<\/p>\n\n\n\n Find the square root. 1600′ The Correct Answer and Explanation is: Answer: The square root of 1600 is 40. Explanation To find the square root of a number means to determine what number, when multiplied by itself, equals the original number. In mathematical terms, ifx2=1600,x^2 = 1600,x2=1600, thenx=1600.x = \\sqrt{1600}.x=1600\u200b. Let\u2019s go step-by-step. First, recognize […]<\/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-233152","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233152","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=233152"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233152\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=233152"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=233152"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=233152"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
The square root of 1600 is 40<\/strong>.<\/p>\n\n\n\n
\n\n\n\n\n
To determine whether a number is a perfect square, factor it and look for repeated prime factors or break it into known square numbers. For example:1600=26\u00d7521600 = 2^6 \\times 5^21600=26\u00d752<\/p>\n\n\n\n![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-194.jpeg\")
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