# How do you simplify sqrt(81/x^4)?

May 7, 2018

$= \frac{9}{x} ^ 2$

#### Explanation:

$\sqrt{\frac{81}{x} ^ 4} = \frac{\sqrt{81}}{\sqrt{{x}^{4}}}$

We know that $\sqrt{{x}^{2}} = x$. Which then mean that $\sqrt{{x}^{4}} = {x}^{2}$.

What mulitiples twice to make $81$? Well that's $9$. So from that, we can say that $\sqrt{81} = 9$.

From there, we will have our answer.
$= \frac{9}{x} ^ 2$