Question

Find the cube root of $8000$.

Answer 1

On prime factorising, we get,

$8000=\underset{–}{2\times 2\times 2}\times \underset{–}{2\times 2\times 2}\times \underset{–}{5\times 5\times 5}$ $=2^3\times 2^3\times 5^3={20}^3$.

Therefore, cube root of $8000$ is:

$\sqrt[3]{38000}=\sqrt[3]{3(20{)}^3}=20$.

Therefore, $20$ is the required solution.