# How do you simplify sqrt (27 / 64)?

##### 1 Answer
Feb 8, 2016

$\frac{3 \sqrt{3}}{8}$

#### Explanation:

We can begin be re writing the square root as:

$\sqrt{\frac{27}{64}} = \frac{\sqrt{27}}{\sqrt{64}}$

Luckily, 64 is a square number so that will allow us to get rid of the square root on the bottom:

$= \frac{\sqrt{27}}{8}$

Now we can transform $\sqrt{27}$ into a surd like so:

$\sqrt{27} = \sqrt{9 \cdot 3} = \sqrt{9} \cdot \sqrt{3} = 3 \sqrt{3}$

So the fraction can be re written as:

$\frac{3 \sqrt{3}}{8}$