Question

Find the cube root of 3375 by prime factoration.

Answer 1

$\sqrt[3]{3375}$

$$\begin{gathered} =\sqrt[3]{3\times 5\times 3\times 5\times 3\times 5} \\ =\sqrt[3]{3\times 3\times 3\times 5\times 5\times 5} \\ =3\times 5=15\left(\mathrm{answer}\right) \end{gathered}$$

So, cube root of 3375 is 15.