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

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Answer 1 · 2017-04-27T02:17:23

#-22sqrt21#

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#

Answer 2 · 2017-04-27T03:19:39

#-22\sqrt{21}#

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}#