Which number produces an irrational number when multiplied by -1.25
A. 3\/4
B. 5.21
C.-0.454545
D. sqaure root 17<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To determine which number produces an irrational number when multiplied by (-1.25), we first need to understand the nature of rational and irrational numbers:<\/p>\n\n\n\n Now, we can analyze each option:<\/p>\n\n\n\n Since (-1.25) is a rational number and (\\sqrt{17}) is an irrational number, the product of a rational number and an irrational number is always irrational. Therefore, when we multiply (-1.25) by (\\sqrt{17}), the result remains irrational.<\/p>\n\n\n\n Thus, the correct answer is D. (\\sqrt{17})<\/strong>.<\/p>\n\n\n\n In summary, the product of a rational number (like (-1.25)) and an irrational number (like (\\sqrt{17})) will always yield an irrational number. The other options consist of rational numbers that, when multiplied by (-1.25), result in rational outputs, confirming that (\\sqrt{17}) is the only number in the list that meets the criteria of producing an irrational number when multiplied by (-1.25).<\/p>\n","protected":false},"excerpt":{"rendered":" Which number produces an irrational number when multiplied by -1.25A. 3\/4B. 5.21C.-0.454545D. sqaure root 17 The Correct Answer and Explanation is: To determine which number produces an irrational number when multiplied by (-1.25), we first need to understand the nature of rational and irrational numbers: Now, we can analyze each option: Since (-1.25) is a […]<\/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-154684","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/154684","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=154684"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/154684\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=154684"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=154684"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=154684"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
\n
[
-1.25 \\times \\frac{3}{4} = -\\frac{15}{16} = -0.9375 \\quad (\\text{Rational})
]<\/li>\n\n\n\n
[
-1.25 \\times 5.21 = -6.5125 \\quad (\\text{Rational})
]<\/li>\n\n\n\n
[
-1.25 \\times -0.454545 = 0.56818125 \\quad (\\text{Rational})
]<\/li>\n\n\n\n
[
-1.25 \\times \\sqrt{17} \\quad (\\text{Irrational})
]<\/li>\n<\/ul>\n\n\n\n