# Math Help - Simplification 3

1. ## Simplification 3

Hi All,

\sqrt{(16)(20) + (8)(32)}

1. \sqrt{(16)(20) + (16)(16)}
2. \sqrt{(16)(20+16)}

At this point, why the the 16 added to the 20 still under the square root? I understand this is because the square root of (16)(16) is 16, but if that's the case should it not be outside of the square root?

I can solve past this point.

Thanks,

2. All they've done so far is simplify the stuff underneath the radical, you haven't taken any square roots yet.

Note that (16)(20) + (8)(32) = (16)(20) + (8)(2)(16) = (16)(20) + (16)(16) = 16(20 + 16) since there is a common factor of 16...

3. Originally Posted by Prove It
All they've done so far is simplify the stuff underneath the radical, you haven't taken any square roots yet.

Note that (16)(20) + (8)(32) = (16)(20) + (8)(2)(16) = (16)(20) + (16)(16) = 16(20 + 16) since there is a common factor of 16...
Ah yes, that makes sense.