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Math Help - Simplify the following

  1. #1
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    Simplify the following

    a) √3 x √15
    b) √32 x √24
    c) 2√5 x 5√2
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  2. #2
    Super Member Quacky's Avatar
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    Windsor, South-East England
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    Remember that \sqrt{ab}=\sqrt{a}\times\sqrt{b}

    And that \sqrt{x}\times\sqrt{x}=x

    1) \sqrt{15}=\sqrt{3}\times\sqrt{5}

    so \sqrt{15}\times\sqrt{3}

    =\sqrt{3}\times\sqrt{3}\times\sqrt{5}

    How would this simplify?

    2) \sqrt{32}

    =\sqrt{16}\times\sqrt{2}

    =4\times\sqrt{2}

    And

    \sqrt{24}

    =\sqrt{4}\times\sqrt{6}

    =2\times\sqrt{6}

    Substitute these into the equation and then simplification should become clear.

    3)Write this as:

    2\times5\times\sqrt{2}\times\sqrt{5}

    Simplifying from here should be straightforward.

    Reply if you are still stuck and I'll try to be of more assistance.
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