# What is the square root of 50?

Sep 7, 2015

The primary square root of $50$ is $5 \sqrt{2}$
(Note that both $+ 5 \sqrt{2}$ and $- 5 \sqrt{2}$ are square roots of $50$, but by definition, the primary root is the positive one).

#### Explanation:

$\sqrt{50} = \sqrt{{5}^{2} \cdot 2}$

$\textcolor{w h i t e}{\text{XXX}} = \sqrt{{5}^{2}} \cdot \sqrt{2}$

$\textcolor{w h i t e}{\text{XXX}} = 5 \sqrt{2}$