# What's the square root of 50 +square root of 32?

Jun 2, 2018

$9 \sqrt{2}$

#### Explanation:

We have the following:

$\textcolor{b l u e}{\sqrt{50}} + \textcolor{\lim e}{\sqrt{32}}$

The blue expression can be rewritten as

$\textcolor{b l u e}{\sqrt{25 \cdot 2} = 5 \sqrt{2}}$

and the green expression can be rewritten as

$\textcolor{\lim e}{\sqrt{16 \cdot 2} = 4 \sqrt{2}}$

Now, we have the following:

$5 \sqrt{2} + 4 \sqrt{2}$

Both terms have a $\sqrt{2}$ in common, so we can factor that out. We get

$\sqrt{2} \left(5 + 4\right)$

$9 \sqrt{2}$

Hope this helps!