# How do you simplify sqrt72+sqrt50?

Mar 3, 2018

See a solution process below:

#### Explanation:

$\sqrt{\textcolor{red}{a} \cdot \textcolor{b l u e}{b}} = \sqrt{\textcolor{red}{a}} \cdot \sqrt{\textcolor{b l u e}{b}}$

$\sqrt{72} + \sqrt{50} \implies$

$\sqrt{\textcolor{red}{36} \cdot \textcolor{b l u e}{2}} + \sqrt{\textcolor{red}{25} \cdot \textcolor{b l u e}{2}} \implies$

$\left(\sqrt{\textcolor{red}{36}} \cdot \sqrt{\textcolor{b l u e}{2}}\right) + \left(\sqrt{\textcolor{red}{25}} \cdot \sqrt{\textcolor{b l u e}{2}}\right) \implies$

$6 \sqrt{\textcolor{b l u e}{2}} + 5 \sqrt{\textcolor{b l u e}{2}}$

Now, we can factor our the common term to complete the simplification:

$\left(6 + 5\right) \sqrt{\textcolor{b l u e}{2}}$

$11 \sqrt{2}$