# How do you simplify sqrt(24x^6)?

Jun 28, 2017

$2 {x}^{3} \sqrt{6}$

#### Explanation:

$\sqrt{6 \times 4 \times {x}^{6}}$

since $\sqrt{{x}^{6}} = {x}^{\frac{6}{2}} = {x}^{3}$

and $\sqrt{4} = 2$

you can write these two terms outside of the square root

$= 2 \times {x}^{3} \sqrt{6}$

$2 {x}^{3} \sqrt{6}$