# How do you simplify the square root of 40 + the square root of 90?

##### 1 Answer
Sep 22, 2015

$\sqrt{40} + \sqrt{90} = 5 \sqrt{10}$

#### Explanation:

Simplify the expression by finding perfect squares to take out of the radical signs.

$\sqrt{40} + \sqrt{90} = \sqrt{4 \cdot 10} + \sqrt{9 \cdot 10}$
$= \sqrt{4} \sqrt{10} + \sqrt{9} \sqrt{10} = 2 \sqrt{10} + 3 \sqrt{10}$
$= 5 \sqrt{10}$