what is the least number that should be subtracted from 385 to get a perfect square? also find square root of the number<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n Correct Answer:<\/strong><\/p>\n\n\n\n The least number that should be subtracted from 385<\/strong> to get a perfect square is 1<\/strong>.<\/p>\n\n\n\n Perfect square obtained<\/strong> = 385 \u2212 1 = 384<\/strong><\/p>\n\n\n\n The nearest perfect square less than 385 is 384<\/strong>, but 384<\/strong> is still not a perfect square. So, the least number that should be subtracted from 385<\/strong> is 24<\/strong>.<\/p>\n\n\n\n Perfect square<\/strong> = 385 \u2212 24 = 361<\/strong><\/p>\n\n\n\n Square root of 361<\/strong> = 19<\/strong><\/p>\n\n\n\n Explanation (300 words):<\/strong><\/p>\n\n\n\n To find the least number that must be subtracted from 385<\/strong> to obtain a perfect square, one must look for the nearest perfect square less than 385<\/strong>. A perfect square is a number that can be expressed as the square of an integer.<\/p>\n\n\n\n Start by finding the square root of 385. Next, take the floor<\/strong> value of 19.62, which is 19<\/strong>. This means the largest perfect square less than 385 is 361<\/strong>. 385 \u2212 361 = 24<\/strong><\/p>\n\n\n\n So, subtracting 24<\/strong> from 385 gives 361<\/strong>, which is a perfect square.<\/p>\n\n\n\n Now, to find the square root of the resulting perfect square:<\/p>\n\n\n\n \u221a361 = 19<\/strong><\/p>\n\n\n\n Hence, the least number that should be subtracted from 385 to make it a perfect square is 24<\/strong>, and the square root of the resulting number is 19<\/strong>.<\/p>\n\n\n\n This method ensures that the subtraction gives the nearest lower perfect square<\/strong>. It is better to subtract the smallest amount possible to reach a perfect square rather than go for a higher one through addition. This is useful in number theory, estimating roots, and solving quantitative aptitude problems.<\/p>\n","protected":false},"excerpt":{"rendered":" what is the least number that should be subtracted from 385 to get a perfect square? also find square root of the number The correct answer and explanation is: Correct Answer: The least number that should be subtracted from 385 to get a perfect square is 1. Perfect square obtained = 385 \u2212 1 = […]<\/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-38038","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38038","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=38038"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38038\/revisions"}],"predecessor-version":[{"id":38041,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38038\/revisions\/38041"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=38038"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=38038"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=38038"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
We go further down to the next actual perfect square which is 361<\/strong>.<\/p>\n\n\n\n
\n\n\n\n
\u221a385 \u2248 19.62 (This is not a whole number, so 385 is not a perfect square.)<\/p>\n\n\n\n
Now, square this number: 19\u00b2 = 361<\/strong>.<\/p>\n\n\n\n
To find how much we need to subtract from 385 to reach 361:<\/p>\n\n\n\n