# How do you simplify 5 sqrt40?

Mar 6, 2017

$10 \sqrt{10}$

#### Explanation:

Starting with $\sqrt{40}$

$\sqrt{4 \cdot 10}$

$\sqrt{{2}^{2} \cdot 10}$

$2 \sqrt{10}$

Now, to include the $5$ you have to multiply $2 \sqrt{10}$ by $5$ which equals $10 \sqrt{10}$