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Thread: "Simple Surd"

  1. #1
    NeF
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    Arrow "Simple Surd"

    REally its so simple its difficult

    --> Without a calculator simplify $\displaystyle \sqrt18 . \sqrt24 $

    I get as far as $\displaystyle \sqrt3\sqrt6 . \sqrt4\sqrt6 $
    $\displaystyle \sqrt3\sqrt6 . 2\sqrt6 $

    the book says the ans is $\displaystyle 24\sqrt3 $
    But i have no clue how to achive that answer
    Last edited by NeF; Jul 9th 2006 at 12:38 PM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by NeF
    REally its so simple its difficult

    --> Without a calculator simplify $\displaystyle \sqrt18 . \sqrt24 $

    I get as far as $\displaystyle \sqrt3\sqrt6 . \sqrt4\sqrt6 $
    $\displaystyle \sqrt3\sqrt6 . 2\sqrt6 $

    the book says the ans is $\displaystyle 24\sqrt3 $
    But i have no clue how to achive that answer
    Since $\displaystyle \sqrt{18} . \sqrt{24} \ne 24\sqrt{3} $ either the book is wrong
    or you have copied the question incorrectly.


    $\displaystyle
    \sqrt{18} . \sqrt{24}=\sqrt{2.3.3}.\sqrt{2.2.2.3}=\sqrt{2.2.2. 2.3.3.3}=4.3.\sqrt{3}=12\sqrt{3}
    $

    RonL
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  3. #3
    NeF
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    Hey man thanks alot. The book is wrong x/
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