Question

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

$10648$

Answer 1

On prime factorising, we get,

$10648=2\times 2\times 2\times 11\times 11\times 11$

$=2^3\times {11}^3$.

Then, cube root of $10648$ is:

$\sqrt[3]{310648}=\sqrt[3]{32^3\times {11}^3}=2\times 11=22$.

Therefore, $22$ is the required solution.