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Homework Help: Algebraic conversion of LHS to RHS equation

  1. Feb 22, 2013 #1
    1. The problem statement, all variables and given/known data

    I'm having trouble converting the LHS to the RHS of this equation:

    http://www.wolframalpha.com/input/?i=%281%2F%28sqrt%285+%2B+h%29+%29-+1%2F%28sqrt%285%29%29%29%2Fh+%3D+-1%2F%28%28sqrt%285%29*sqrt%285%2Bh%29%29*%28sqrt%285%2Bh%29+%2B+sqrt%285%29%29%29

    2. Relevant equations

    N/A

    3. The attempt at a solution

    I've tried a bunch of different things. One thing I tried was bringing the h in the denominator to the denominators of the numerators (i.e. making it a factor of the numerators' denominators). With common denominators and factoring out h I end up getting:

    [urlhttp://www.wolframalpha.com/input/?i=%28sqrt%285%29+-+sqrt%285%2Bh%29%29%2F%28h*%28sqrt%285%2Bh%29*sqrt%285%29%29%29[/url]

    ...And I'm stuck there. I would appreciate if someone could just show me step-by-step the solution (working the LHS to meet the RHS please).
     
    Last edited: Feb 22, 2013
  2. jcsd
  3. Feb 22, 2013 #2

    ehild

    User Avatar
    Homework Helper

    What is the problem?

    ehild
     
  4. Feb 22, 2013 #3
    [itex] (a-b)(a+b) = a^2-b^2 [/itex] and [itex] a = \sqrt{a} \sqrt{a} [/itex].
     
  5. Feb 22, 2013 #4
    I got it, thanks all.
     
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