What is the square root of 196<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The square root of 196 is 14<\/strong>.<\/p>\n\n\n\n The square root of a number is a value that, when multiplied by itself, gives the original number. For 196, the equation is:<\/p>\n\n\n\n [ To find this value, consider the following steps:<\/p>\n\n\n\n Understanding square roots is essential in mathematics, especially in geometry, algebra, and real-world applications such as calculating areas, analyzing physics problems, and financial modeling. By recognizing that 196 is a perfect square, finding its square root becomes straightforward.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the square root of 196 The Correct Answer and Explanation is: The square root of 196 is 14. Explanation: The square root of a number is a value that, when multiplied by itself, gives the original number. For 196, the equation is: [\\sqrt{196} = x \\quad \\text{where } x \\times x = 196] […]<\/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-168014","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168014","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=168014"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168014\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168014"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168014"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168014"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
\\sqrt{196} = x \\quad \\text{where } x \\times x = 196
]<\/p>\n\n\n\n\n
Start by identifying the factors of 196. It can be written as:
[
196 = 14 \\times 14
]
This immediately shows that ( 14 \\times 14 = 196 ), meaning 14 is the square root of 196.<\/li>\n\n\n\n
Alternatively, break 196 into its prime factors:
[
196 \\div 2 = 98 \\quad (\\text{divide by 2, the smallest prime number})
]
[
98 \\div 2 = 49 \\quad (\\text{divide by 2 again})
]
[
49 \\div 7 = 7 \\quad (\\text{divide by 7, another prime number})
]
[
7 \\div 7 = 1
]
The prime factors of 196 are ( 2 \\times 2 \\times 7 \\times 7 ), which can be grouped as:
[
(2 \\times 7) \\times (2 \\times 7) = 14 \\times 14
]
Therefore, ( \\sqrt{196} = 14 ).<\/li>\n\n\n\n
A perfect square is a number that has an integer as its square root. Since ( 14^2 = 196 ), 196 is a perfect square, and its square root is 14.<\/li>\n\n\n\n
Multiply ( 14 \\times 14 ) to confirm:
[
14 \\times 14 = 196
]<\/li>\n<\/ol>\n\n\n\n