{"id":233147,"date":"2025-06-12T17:18:43","date_gmt":"2025-06-12T17:18:43","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=233147"},"modified":"2025-06-12T17:18:45","modified_gmt":"2025-06-12T17:18:45","slug":"what-is-the-square-root-of-1600-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/12\/what-is-the-square-root-of-1600-2\/","title":{"rendered":"What is the square root of 1600"},"content":{"rendered":"\n

What is the square root of 1600?<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/em><\/p>\n\n\n\n

Correct Answer:<\/strong>
The square root of 1600<\/strong> is 40<\/strong>.<\/p>\n\n\n\n

\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 (squared), gives the original number. In other words, if x2=1600x^2 = 1600×2=1600, then xxx is the square root of 1600.<\/p>\n\n\n\n

We start by trying to simplify 1600. Notice that 1600 ends in two zeros, which tells us it is a perfect square of a number ending in zero. Let\u2019s rewrite 1600 as a product of its prime factors to better understand it.<\/p>\n\n\n\n

Start by dividing 1600 by small prime numbers:1600\u00f72=800800\u00f72=400400\u00f72=200200\u00f72=100100\u00f72=5050\u00f72=2525\u00f75=55\u00f75=11600 \\div 2 = 800 \\\\ 800 \\div 2 = 400 \\\\ 400 \\div 2 = 200 \\\\ 200 \\div 2 = 100 \\\\ 100 \\div 2 = 50 \\\\ 50 \\div 2 = 25 \\\\ 25 \\div 5 = 5 \\\\ 5 \\div 5 = 11600\u00f72=800800\u00f72=400400\u00f72=200200\u00f72=100100\u00f72=5050\u00f72=2525\u00f75=55\u00f75=1<\/p>\n\n\n\n

So the prime factorization of 1600 is:1600=26\u00d7521600 = 2^6 \\times 5^21600=26\u00d752<\/p>\n\n\n\n

To find the square root, we take half the exponents of the prime factors:1600=26\u00d752=26\/2\u00d752\/2=23\u00d751=8\u00d75=40\\sqrt{1600} = \\sqrt{2^6 \\times 5^2} = 2^{6\/2} \\times 5^{2\/2} = 2^3 \\times 5^1 = 8 \\times 5 = 401600\u200b=26\u00d752\u200b=26\/2\u00d752\/2=23\u00d751=8\u00d75=40<\/p>\n\n\n\n

Thus, the square root of 1600 is 40<\/strong>.<\/p>\n\n\n\n

We can verify this by squaring 40:40\u00d740=160040 \\times 40 = 160040\u00d740=1600<\/p>\n\n\n\n

This confirms our result.<\/p>\n\n\n\n

Also, recognizing perfect squares can help. Since:402=1600and1600=40\u00d74040^2 = 1600 \\quad \\text{and} \\quad 1600 = 40 \\times 40402=1600and1600=40\u00d740<\/p>\n\n\n\n

we conclude that 40 is the positive square root of 1600<\/strong>.<\/p>\n\n\n\n

In summary, the square root of 1600 is 40, because 40 multiplied by itself equals 1600.<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

What is the square root of 1600? The Correct Answer and Explanation is: Correct 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 (squared), gives the original number. In other words, if x2=1600x^2 = 1600×2=1600, then xxx is the […]<\/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-233147","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233147","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=233147"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233147\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=233147"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=233147"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=233147"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}