Question

Find the cube root of 1728.

Answer 1

First we resolve 1728 into prime factors


$\sqrt[3]{31728}=\sqrt[3]{3\underset{–}{2\times 2\times 2}\times \underset{–}{2\times 2\times 2}\times \underset{–}{3\times 3\times 3}}$ = 2 × 2 × 3 = 12