Question

Find the cube root of 91125 using prime factorization.

Answer 1

$\text{Resolving}91125\text{into prime factors, we get}91125=3\times 3\times 3\times 3\times 3\times 3\times 5\times 5\times 5$

$=\sqrt[3]{33^3\times 3^3\times 5^3}=3\times 3\times 5$

$=45$