Question

Find the cube root of the following by prime factorization method

$5832$ $and$ $21952$$?$

Answer 1

In Cube root by prime factorization we make group of 3 same prime factor.

The$\sqrt[3]{35832}$ $is$

$5832$ = $3\times 3\times 3\times 3\times 3\times 3\times 2\times 2\times 2$

$=3\times 3\times 2$
$=18$

The $\sqrt[3]{321952}$ $is,$

$21952$= $2\times 2\times 2\times 2\times 2\times 2\times 7\times 7\times 7$

$=2\times 2\times 7$

$=28$