The negative square root of 361 is \u201319<\/strong>.<\/p>\n\n\n\n To understand this, we begin with the concept of square roots. The square root<\/strong> of a number is a value that, when multiplied by itself, gives the original number. In symbols, ifx2=a,x^2 = a,x2=a,<\/p>\n\n\n\n thenx=aorx=\u2212a.x = \\sqrt{a} \\quad \\text{or} \\quad x = -\\sqrt{a}.x=a\u200borx=\u2212a\u200b.<\/p>\n\n\n\n In this case, the number is 361. We need to find the number which, when multiplied by itself, equals 361.<\/p>\n\n\n\n Let us test:19\u00d719=361.19 \\times 19 = 361.19\u00d719=361.<\/p>\n\n\n\n This means that the positive square root<\/strong> of 361 is 19. However, since both positive and negative numbers can produce the same square when multiplied by themselves, we also have:(\u221219)\u00d7(\u221219)=361.(-19) \\times (-19) = 361.(\u221219)\u00d7(\u221219)=361.<\/p>\n\n\n\n So, the square root of 361 actually has two values:361=\u00b119.\\sqrt{361} = \\pm 19.361\u200b=\u00b119.<\/p>\n\n\n\n The question specifically asks for the negative square root<\/strong>, so we focus only on the negative value:Negative square root of 361=\u221219.\\text{Negative square root of 361} = -19.Negative square root of 361=\u221219.<\/p>\n\n\n\n It is important to understand that the square root symbol (\u221a) usually refers to the principal (positive)<\/strong> square root by default. So when someone writes361,\\sqrt{361},361\u200b,<\/p>\n\n\n\n it typically means 19. If the problem specifically asks for the negative<\/strong> square root, we include the minus sign explicitly in front of the square root symbol:\u2212361=\u221219.-\\sqrt{361} = -19.\u2212361\u200b=\u221219.<\/p>\n\n\n\n This distinction is often emphasized in algebra and higher-level math to avoid confusion, especially when solving equations such asx2=361.x^2 = 361.x2=361.<\/p>\n\n\n\n In that case, the full set of solutions isx=\u00b119.x = \\pm 19.x=\u00b119.<\/p>\n\n\n\n But if the question targets only the negative root, the answer is simply \u201319<\/strong>.<\/p>\n\n\n\n What is the negative square root of 361 The Correct Answer and Explanation is: The negative square root of 361 is \u201319. Explanation: To understand this, we begin with the concept of square roots. The square root of a number is a value that, when multiplied by itself, gives the original number. In symbols, ifx2=a,x^2 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-37642","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37642","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=37642"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37642\/revisions"}],"predecessor-version":[{"id":37644,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37642\/revisions\/37644"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=37642"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=37642"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=37642"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
Additional Insight:<\/h3>\n\n\n\n
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<\/figure>\n","protected":false},"excerpt":{"rendered":"