# How do you simplify sqrt45 + 2 sqrt5?

Sep 2, 2017

$5 \sqrt{5}$

#### Explanation:

You are looking for squared values that you can 'take outside' the root. Note that $45 = 5 \times 9 = 5 \times {3}^{2}$

Write as: $\sqrt{5 \times {3}^{2}} + 2 \sqrt{5}$

$3 \sqrt{5} + 2 \sqrt{5}$

$5 \sqrt{5}$