# How do you simplify sqrt80 / sqrt5?

Jun 8, 2016

$\sqrt{16} = 4$

#### Explanation:

Neither 80 nor 5 are square numbers. There are two options:

First method: When we are dividing with square roots, we can combine the two roots into one and then simplify.
$\frac{\sqrt{80}}{\sqrt{5}} = \sqrt{\frac{80}{5}}$

$\sqrt{\frac{80}{5}} = \sqrt{16} = 4$

Second method Write 80 as a product of factors,
Note that $80 = 16 \times 5$

$\frac{\sqrt{80}}{\sqrt{5}} = \frac{\sqrt{16 \times 5}}{\sqrt{5}} \text{ separate into two roots}$

$\frac{\sqrt{16} \times \sqrt{5}}{\sqrt{5}} \text{ } = \sqrt{16} = 4$