# How do you simplify -11sqrt21-11sqrt21?

Apr 27, 2017

$- 22 \sqrt{21}$

#### Explanation:

Since the square roots alone have the same value they can be ignored and we can work with the numbers outside of the square root.

So,

$- 11 \textcolor{red}{\sqrt{21}} - 11 \textcolor{red}{\sqrt{21}}$

Square roots are equal so...

$- 11 - 11$

$- 22$

and then rewrite our square root

$- 22 \sqrt{21}$

Apr 27, 2017

$- 22 \setminus \sqrt{21}$

#### Explanation:

We can factor out the negative sign to get
$- \left(11 \setminus \sqrt{21} + 11 \setminus \sqrt{21}\right)$

We can add like terms so we get
$- \left(22 \setminus \sqrt{21}\right) = - 22 \setminus \sqrt{21}$