Question

Check whether $24x^3{y}^2$ is a perfect cube or not. If not, find the smallest number by which it should be divided to make it a perfect cube. Also, find the cube root of the perfect cube number so obtained.

Answer 1

Given that,

$24x^3{y}^2$

To verify that the given is a perfect cube or not, we must write it as $3\times 2^3{x}^3{y}^2$.

It is found that the given value should be divided by $3y^2$ to kae it a perfect cube, so the number obtained is $2^3{x}^3$ and its cube root comes to be $2x.$

hence, this is the answer.