what is the square root of 640<\/p>\n\n\n\n
\u221a640 =<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n sqrt(640) = 25.298221281347036<\/p>\n\n\n\n To simplify the square root of 640, we begin by factoring 640 into its prime factors:<\/p>\n\n\n\n 640 = 2 \u00d7 320 = 2 \u00d7 2 \u00d7 160 = 2 \u00d7 2 \u00d7 2 \u00d7 80 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 40 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 20 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 10 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 5.<\/p>\n\n\n\n This prime factorization reveals that 640 consists of seven factors of 2 and one factor of 5.<\/p>\n\n\n\n Next, we group the prime factors into pairs:<\/p>\n\n\n\n (2 \u00d7 2) \u00d7 (2 \u00d7 2) \u00d7 (2 \u00d7 2) \u00d7 (2 \u00d7 2) \u00d7 5.<\/p>\n\n\n\n Each pair of identical factors can be taken out of the square root as a single factor.<\/p>\n\n\n\n Therefore, the square root of 640 simplifies as follows:<\/p>\n\n\n\n \u221a640 = \u221a[(2 \u00d7 2) \u00d7 (2 \u00d7 2) \u00d7 (2 \u00d7 2) \u00d7 (2 \u00d7 2) \u00d7 5]<\/p>\n\n\n\n = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 \u221a5<\/p>\n\n\n\n = 16\u221a5.<\/p>\n\n\n\n Thus, the simplified form of \u221a640 is 16\u221a5.<\/p>\n\n\n\n To express this as a decimal, we approximate \u221a5 \u2248 2.236.<\/p>\n\n\n\n Therefore, 16\u221a5 \u2248 16 \u00d7 2.236 \u2248 35.776.<\/p>\n\n\n\n This approximation shows that \u221a640 is approximately 35.776.<\/p>\n\n\n\n In summary, \u221a640 simplifies to 16\u221a5, which is approximately 35.776.<\/p>\n\n\n\n <\/p>\n","protected":false},"excerpt":{"rendered":" what is the square root of 640 \u221a640 = The Correct Answer and Explanation is : sqrt(640) = 25.298221281347036 To simplify the square root of 640, we begin by factoring 640 into its prime factors: 640 = 2 \u00d7 320 = 2 \u00d7 2 \u00d7 160 = 2 \u00d7 2 \u00d7 2 \u00d7 80 = […]<\/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 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