Question

Find the cube root of $512$ by prime factorisation method:

Answer 1

Resolving $512$ into prime factors, we get
$512=\underset{–}{2\times 2\times 2}\times \underset{–}{2\times 2\times 2}\times \underset{–}{2\times 2\times 2}$
$\therefore \sqrt[3]{3512}=(2\times 2\times 2)=8$