Question

Find the cube root of $5832$ by prime factorisation method.

Answer 1

On prime factorising, we get,

$5832=(2\times 2\times 2)\times (3\times 3\times 3)\times (3\times 3\times 3)$

$=2^3\times 3^3\times 3^3$.

Then, cube root of $5832$ is:

$\sqrt[3]{35832}=\sqrt[3]{32^3\times 3^3\times 3^3}=2\times 3\times 3=18$.

Therefore, $18$ is the solution.