Question

Find the cube root of $2744$.

Answer 1

By prime factorisation, we get,

$2744=2\times 2\times 2\times 7\times 7\times 7=2^3\times 7^3={14}^3$.

Then, cube root of $2744$ is:
$\sqrt[3]{32744}=\sqrt[3]{3{14}^3}$ $=14$.

Hence, $14$ is the required solution.