# How do you simplify sqrt(64/81)?

Jun 5, 2016

$= \frac{8}{9}$

#### Explanation:

For multiplication and division involving roots, you can find the roots separately.

So $\sqrt{\frac{64}{81}} = \frac{\sqrt{64}}{\sqrt{81}}$

$= \frac{8}{9}$

However for addition and subtraction you have to work with the terms as they are given

$\sqrt{16 + 9} \text{ is not the same as } \sqrt{16} + \sqrt{9}$

$= \sqrt{25} \text{ } = 4 + 3$

$= 5 \text{ } = 7$