Question

How would I simplify -√189 ?

Answer 1

You go on a factor hunt. Can you think of ANY whole number that divides 189 evenly? I suggest you start with 3.

Answer 2

\[-\sqrt{189}=-\sqrt{9*21}=-\sqrt{9}*\sqrt{21}=-3\sqrt{21}\]

Answer 3

@KeithAfasCalcLover is correct

Answer 4

You would be more correct if you had done the work,

Answer 5

I suppose you could simplify it further...

\[-3\sqrt{21}=-3\sqrt{3*7}=-3*\sqrt{3}*\sqrt{7}=-(3)^{\frac{3}{2}}\sqrt{7}\]

Answer 6

Thanks a whole lot @KeithAfasCalcLover. Life saver. :3

Answer 7

Hey my pleasure ;)