# How do you simplify sqrt(36g^6)?

May 9, 2016

$6 {g}^{3}$

#### Explanation:

$\sqrt{36 {g}^{6}}$ can be rewritten as $\sqrt{36} \cdot \sqrt{{g}^{6}}$.

$36$ is $6 \cdot 6$ so $\sqrt{36} = 6$

$\sqrt{{g}^{6}} = {g}^{\frac{6}{2}} = {g}^{3}$

Therefore $\sqrt{36 {g}^{6}} = 6 {g}^{3}$