Find the cube root of 512.

Given :

The given number is 512.

To do :

We have to find the cube root of 512.

Solution :

The cube root of a number can be found by the prime factorization method.

Prime factorization of 512 is,

$512 = 2 \times 2 \times 2\times 2\times 2\times 2\times 2\times 2\times 2$

          $= 2^3 \times 2^3 \times 2^3$

         $= 8 \times 8\times 8$

 $512 = 8^3$

$\sqrt[3]{512} =8$

Therefore, cube root of 512 is $8$.