How do you simplify $- 11 \sqrt{21} - 11 \sqrt{21}$ $-11sqrt21-11sqrt21$ ?

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Answer 1 · 2017-04-27T02:17:23

$- 22 \sqrt{21}$ $-22sqrt21$

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,

$- 11 \sqrt{21} - 11 \sqrt{21}$ $-11color(red)(sqrt21)-11color(red)(sqrt21)$

Square roots are equal so...

$- 11 - 11$ $-11-11$

$- 22$ $-22$

and then rewrite our square root

$- 22 \sqrt{21}$ $-22sqrt21$

Answer 2 · 2017-04-27T03:19:39

$- 22 \sqrt{21}$ $-22\sqrt{21}$

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

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

How do you simplify −11√21−11√21-11sqrt21-11sqrt21?