Question

Using Prime Factorisation Find The Cube Roots Of $512$

Answer 1

The cube root of $512$by prime factorization method

$=512=(2\times 2\times 2)\times (2\times 2\times 2)\times (2\times 2\times 2)\}=8\times 8\times 8$

Cube root of $512=\sqrt[3]{512}=\sqrt[3]{8\times 8\times 8}=8$

Hence, the cube root of $512$ is $8$