# What is the square root of 50 + the square root of 8?

##### 1 Answer
Mar 26, 2015

$\sqrt{50} + \sqrt{8} = \sqrt{25 \cdot 2} + \sqrt{4 \cdot 2}$
$= \sqrt{25} \sqrt{2} + \sqrt{4} \cdot \sqrt{2} = 5 \sqrt{2} + 2 \sqrt{3} = 7 \sqrt{2}$.

Note $\sqrt{50}$ is also = $\sqrt{5 \cdot 10}$ but I don't know either of those square roots, so: although it's true, it's not helpful.