# How do you simplify -sqrt(81/16)?

Apr 15, 2018

The result is $- \frac{9}{4}$.

#### Explanation:

You can distribute the radical onto each of the fraction parts, then simplify each one:

$\textcolor{w h i t e}{=} - \sqrt{\frac{81}{16}}$

$= - \frac{\sqrt{81}}{\sqrt{16}}$

$= - \frac{\sqrt{{9}^{2}}}{\sqrt{{4}^{2}}}$

$= - \frac{9}{4}$

That's the result. Hope this helped!