Question

# Find the cube root of 125.

So let $y = 125$
Now the cube root of 125 means we have to find ${\left( {125} \right)^{\frac{1}{3}}}$. So taking cube root on both sides of the above equation, we get
${\left( y \right)^{\frac{1}{3}}} = {\left( {125} \right)^{\frac{1}{3}}}$
$\Rightarrow {\left( y \right)^{\frac{1}{3}}} = {\left( {{5^3}} \right)^{\frac{1}{3}}}$ as we know that $125 = {5^3}$
$\Rightarrow {\left( y \right)^{\frac{1}{3}}} = 5$ which is our required answer