Question

Find the cube root of $27000$ by prime factorisation method.

Answer 1

$27000=2\times 2\times 2\times 3\times 3\times 3\times 5\times 5\times 5$
$=2^3\times 3^3\times 5^3$
$=\sqrt[3]{327000}=2\times 3\times 5=30$