# What is the square root of 50 + square root of 18?

Jul 9, 2018

$8 \sqrt{2}$

#### Explanation:

$50$ is the same thing as $25 \cdot 2$, and $18$ is the same as $9 \cdot 2$. Writing the radicals in this way allows us to factor out a perfect square.

We have:

$\sqrt{25 \cdot 2} + \sqrt{9 \cdot 2}$

Which simplifies to

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

Since these both have $\sqrt{2}$ as a factor, we can add them to get

$8 \sqrt{2}$

Hope this helps!