Question

Find the cubic root of the following number by prime factorisation method:

$15625$

Answer 1

On prime factorising, we get,

$15625=5\times 5\times 5\times 5\times 5\times 5$

$=5^3\times 5^3={25}^3$.

Then, cube root of $15625$ is:

$\sqrt[3]{315625}=\sqrt[3]{3{25}^3}=25$.

Therefore, $25$ is the required solution.