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Math Help - Simplifying an algebraic equation

  1. #1
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    Oct 2008
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    Question Simplifying an algebraic equation

    Hello guys,

    I'm currently trying to show how

    sqrt(6) - sqrt(2) / 4 = sqrt( 2 - sqrt(3) ) / 2

    My first step was to multiply sqrt(6) - sqrt(2) by 1/4, but after that I get stuck. My algebra is slightly rusty! Would somebody be nice enough to walk me step by step on how to prove this equation. I'm not getting anywhere... Thanks!
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  2. #2
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    Joined
    Sep 2008
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    ithink this will do...

    take this LHS...

    (sqrt(6) - sqrt(2))/ 4

    taking square
    we get,

    = (6+2-2sqrt(12))/16
    = (8-2sqrt(12))/16
    taking 2 out, and cancelling we get,

    = (4-sqrt(12))/8
    = (4 -(sqrt(3)*sqrt(4)))/8 sqrt(4) = 2
    taking 2 out side and cancelling with denominator we get,
    = (2-sqrt(3))/4
    taking sqrt now we get,
    =sqrt(2-sqrt(3))/2 = answer.
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  3. #3
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    Thanks!
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