The number of digits in the cube root of 6859 is<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n Correct Answer: 1<\/strong><\/p>\n\n\n\n To find the number of digits in the cube root of 6859, the first step is to determine the cube root of the number.<\/p>\n\n\n\n 6859 is a perfect cube, and calculating the cube root directly gives: 68593=19\\sqrt[3]{6859} = 19<\/p>\n\n\n\n This can be verified by multiplying: 19\u00d719=36119 \\times 19 = 361 361\u00d719=6859361 \\times 19 = 6859<\/p>\n\n\n\n So, the cube root of 6859 is 19. The next step is to determine how many digits are in 19. A digit refers to each individual number place in a whole number. The number 19 has two digits: 1 and 9.<\/p>\n\n\n\n Therefore, the correct number of digits in the cube root of 6859 is 2<\/strong>, not 1.<\/p>\n\n\n\n Now, to understand the reasoning more generally, the number of digits in a whole number nn can be found using logarithms: Number of digits in n=\u230alog\u206110(n)\u230b+1\\text{Number of digits in } n = \\lfloor \\log_{10}(n) \\rfloor + 1<\/p>\n\n\n\n For 19: log\u206110(19)\u22481.2788\\log_{10}(19) \\approx 1.2788 \u230a1.2788\u230b+1=2\\lfloor 1.2788 \\rfloor + 1 = 2<\/p>\n\n\n\n So 19 has 2 digits.<\/p>\n\n\n\n The cube root of a number reduces its size significantly. If a number has 4 digits, such as 6859, then its cube root will likely have fewer digits. This is because raising a number to the power of 3 increases its digit length rapidly. Conversely, taking the cube root reduces the number of digits.<\/p>\n\n\n\n In conclusion, the cube root of 6859 is 19, and the number 19 has 2 digits<\/strong>. Therefore, the number of digits in the cube root of 6859 is 2<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" The number of digits in the cube root of 6859 is The correct answer and explanation is: Correct Answer: 1 To find the number of digits in the cube root of 6859, the first step is to determine the cube root of the number. 6859 is a perfect cube, and calculating the cube root directly […]<\/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-41370","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41370","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=41370"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41370\/revisions"}],"predecessor-version":[{"id":41371,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41370\/revisions\/41371"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=41370"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=41370"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=41370"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}