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

2 Answers
Apr 27, 2017

#-22sqrt21#

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,

#-11color(red)(sqrt21)-11color(red)(sqrt21)#

Square roots are equal so...

#-11-11#

#-22#

and then rewrite our square root

#-22sqrt21#

Apr 27, 2017

#-22\sqrt{21}#

Explanation:

We can factor out the negative sign to get
#-(11\sqrt{21}+11\sqrt{21})#

We can add like terms so we get
#-(22\sqrt{21})=-22\sqrt{21}#