What number to the 3rd power equals 8?<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To find the number that, when raised to the third power, equals 8, we can express this mathematically as ( x^3 = 8 ). To solve for ( x ), we can take the cube root of both sides of the equation:<\/p>\n\n\n\n [ The cube root of 8 is 2, because:<\/p>\n\n\n\n [ Thus, the solution is ( x = 2 ).<\/p>\n\n\n\n The concept of powers and roots is fundamental in mathematics. When we raise a number to a power, we multiply that number by itself a specified number of times. In this case, raising a number to the third power (or cubing it) means multiplying the number by itself twice more, for a total of three factors.<\/p>\n\n\n\n Cube roots, on the other hand, are the inverse operation of cubing. If we say that ( x^3 = y ), then ( x ) is the cube root of ( y ). The cube root of a number ( y ) is the number ( x ) that satisfies this equation. For instance, since ( 2^3 = 8 ), we can say ( \\sqrt[3]{8} = 2 ).<\/p>\n\n\n\n In the context of cube roots, it’s important to note that every real number has one real cube root. This is different from square roots, where a positive number has two square roots (one positive and one negative). For example, while both ( 2 ) and ( -2 ) squared give ( 4 ), only ( 2 ) cubed results in ( 8 ).<\/p>\n\n\n\n Understanding cube roots is crucial in various fields, including algebra, geometry, and even in real-world applications such as calculating volumes. This knowledge helps us manipulate equations and solve problems that involve powers and roots effectively.<\/p>\n","protected":false},"excerpt":{"rendered":" What number to the 3rd power equals 8? The Correct Answer and Explanation is : To find the number that, when raised to the third power, equals 8, we can express this mathematically as ( x^3 = 8 ). To solve for ( x ), we can take the cube root of both sides of […]<\/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-152606","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/152606","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=152606"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/152606\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=152606"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=152606"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=152606"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
x = \\sqrt[3]{8}
]<\/p>\n\n\n\n
2 \\times 2 \\times 2 = 8
]<\/p>\n\n\n\nExplanation<\/h3>\n\n\n\n