# How do you simplify root3(125)?

Oct 7, 2015

=color(blue)(5

#### Explanation:

$125$ can be prime factorised as :

$125 = 5 \cdot 5 \cdot 5 = {5}^{3}$

So $\sqrt[3]{125}$ can be written as :

root(3)(5^3)=(5^(3))^color(blue)(1/3

=color(blue)(5