Find all real square roots of 25<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The square root of a number ( x ) is a value ( y ) that satisfies the equation ( y^2 = x ). Specifically, we are looking for the real square roots of 25. In mathematical terms, this means we are seeking all values of ( y ) such that:<\/p>\n\n\n\n [ To solve for ( y ), we take the square root of both sides of the equation:<\/p>\n\n\n\n [ This expression indicates that there are two possible values of ( y ) since squaring either a positive or a negative number results in the same positive value. In this case, we know:<\/p>\n\n\n\n [ Thus, the two possible solutions are:<\/p>\n\n\n\n [ Therefore, the real square roots of 25 are ( \\pm 5 ).<\/p>\n\n\n\n Find all real square roots of 25 The Correct Answer and Explanation is: The square root of a number ( x ) is a value ( y ) that satisfies the equation ( y^2 = x ). Specifically, we are looking for the real square roots of 25. In mathematical terms, this means we are […]<\/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-167217","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167217","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=167217"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167217\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167217"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167217"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167217"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
y^2 = 25
]<\/p>\n\n\n\n
y = \\pm \\sqrt{25}
]<\/p>\n\n\n\n
\\sqrt{25} = 5
]<\/p>\n\n\n\n
y = 5 \\quad \\text{or} \\quad y = -5
]<\/p>\n\n\n\nExplanation<\/h3>\n\n\n\n
\n
The square root of a number is defined as the number that, when multiplied by itself, gives the original number. For example, ( \\sqrt{25} ) is the number that, when multiplied by itself, equals 25.<\/li>\n\n\n\n
For positive real numbers, the square root operation has two possible solutions: a positive root and a negative root. This is because both ( 5 \\times 5 = 25 ) and ( (-5) \\times (-5) = 25 ). Therefore, both ( 5 ) and ( -5 ) are valid square roots of 25.<\/li>\n\n\n\n
When we take the square root of a number in basic arithmetic, it typically refers to the principal (non-negative) root. However, the general solution for square roots includes both the positive and negative values that satisfy the equation.<\/li>\n\n\n\n
The real square roots of 25 are ( 5 ) and ( -5 ). These are the two real solutions to the equation ( y^2 = 25 ), both of which are correct answers.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"