# How do you simplify sqrt20-sqrt5?

$\sqrt{5}$

#### Explanation:

Since 20 is divisible by 4, which is a perfect square, $\sqrt{20}$ which is the same as $\sqrt{\left(4 \cdot 5\right)}$ can be written as 2$\sqrt{5}$ by taking the 4 out of the radical and square rooting it. Hence, we can now derive:

2$\sqrt{5}$ - $\sqrt{5}$ = $\sqrt{5}$

Therefore, the answer is $\sqrt{5}$ which is approximately 2.236.

May 31, 2018

$\sqrt{5}$

#### Explanation:

$\sqrt{20} - \sqrt{5}$

$= \sqrt{4 \times 5} - \sqrt{5}$

$= \sqrt{4} \sqrt{5} - \sqrt{5}$

$= 2 \sqrt{5} - \sqrt{5}$

$= \sqrt{5}$