What is the square root of 16x^16<\/p>\n\n\n\n
The correct answser is: 4x^8<\/strong><\/mark><\/p>\n\n\n\n The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The square root of ( 16x^{16} ) can be simplified as follows:<\/p>\n\n\n\n [ Therefore, the square root of ( 16x^{16} ) is:<\/p>\n\n\n\n [ The square root function undoes squaring, which means that if you square a number and then take the square root of that result, you get back the original number (as long as we are dealing with non-negative values). In this problem, we are dealing with the expression ( 16x^{16} ), which consists of two parts: a constant ( 16 ) and a variable term ( x^{16} ).<\/p>\n\n\n\n The square root of ( 16 ) is straightforward. We know that ( \\sqrt{16} = 4 ) because multiplying 4 by itself yields 16 (i.e., ( 4 \\times 4 = 16 )).<\/p>\n\n\n\n For the variable part, we have ( x^{16} ). The square root of ( x^{16} ) follows the rule for exponents under a square root: Finally, we combine the two simplified components: ( \\sqrt{16} = 4 ) and ( \\sqrt{x^{16}} = x^8 ), giving the final simplified expression: This shows that the square root of ( 16x^{16} ) is ( 4x^8 ), following basic rules of algebra involving square roots and exponents.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the square root of 16x^16 The correct answser is: 4x^8 The Correct Answer and Explanation is : The square root of ( 16x^{16} ) can be simplified as follows: [\\sqrt{16x^{16}} = \\sqrt{16} \\times \\sqrt{x^{16}}] Therefore, the square root of ( 16x^{16} ) is: [4x^8] Explanation (in 300 words): The square root function undoes […]<\/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-156951","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156951","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=156951"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156951\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156951"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156951"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156951"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\\sqrt{16x^{16}} = \\sqrt{16} \\times \\sqrt{x^{16}}
]<\/p>\n\n\n\n\n
[
\\sqrt{16} = 4
]
This is because ( 4 \\times 4 = 16 ).<\/li>\n\n\n\n
[
\\sqrt{x^{16}} = x^{16\/2} = x^8
]
When taking the square root of a power, you divide the exponent by 2.<\/li>\n<\/ol>\n\n\n\n
4x^8
]<\/p>\n\n\n\nExplanation (in 300 words):<\/h3>\n\n\n\n
Step 1: Simplifying the constant<\/h4>\n\n\n\n
Step 2: Simplifying the variable part<\/h4>\n\n\n\n
[
\\sqrt{x^n} = x^{n\/2}
]
So, applying this rule to ( x^{16} ), we divide the exponent (16) by 2, which gives us ( x^8 ).<\/p>\n\n\n\nStep 3: Combining the results<\/h4>\n\n\n\n
[
4x^8
]<\/p>\n\n\n\n