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Math Help - Simplification 3

  1. #1
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    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,
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  2. #2
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    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...
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  3. #3
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    Quote Originally Posted by Prove It View Post
    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.
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