Courses
Courses for Kids
Free study material
Free LIVE classes
More LIVE
Join Vedantu’s FREE Mastercalss

# ${\text{Q}}{\text{.Find out the cube root of 216}}{\text{.}} \\ {\text{A}}{\text{. 8}} \\ {\text{B}}{\text{. 4}} \\ {\text{C}}{\text{. 9}} \\ {\text{D}}{\text{. 6}} \\ \\$ Verified
${\text{In mathematics a cube root of a number }}x\,{\text{ is number }}y\,{\text{such that }}{y^3} = x\,\,\,\,....\left( 1 \right) \\ {\text{now finding the cube root of the number by prime factorization}}{\text{.}} \\ {\text{from the equation one }} \\ {y^3} = 216 \\ y = \sqrt{{216}} \\ {\text{prime factors of are }} \\ {\text{216 = 2}} \times {\text{2}} \times {\text{2}} \times {\text{3}} \times {\text{3}} \times {\text{3}} \\ {\text{now assume three time repeating digits as one}}{\text{.}} \\ {\text{as here by assuming each three as one we will get 2and 3}}{\text{.}} \\ {\text{now we should multiply these numbers}}{\text{.}} \\ {\text{2}} \times {\text{3 = 6 }} \\ \sqrt{{216}} = 6 \\ {\text{which is the cube root of 216 as mentioned}}{\text{.}} \\ {\text{NOTE: whenever you come across this kind of question find out the prime factors of the given number}} \\ {\text{ and always assume the three time repeating digit as one and multiply them to get the cube root }} \\ {\text{ of the number }} \\$