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Polynomial division

  1. Sep 21, 2009 #1
    3rd roots in denominator

    1. The problem statement, all variables and given/known data
    [tex]\frac{ \sqrt[3]{25} + \sqrt[3]{5x} + \sqrt[3]{x^2} }{ \sqrt[3]{x} - \sqrt[3]{5} }[/tex]

    Rewrite the expression with no roots in the denominator and it being simplified as far as possible.


    2. Relevant equations



    3. The attempt at a solution
    I'm.. stumped. Seriously. How on earth do I get rid of them? I can't do the conjugate, I can't take the denominator to the power of three, I can't take it times (x3 + 53) and I'm out of ideas.





    Sorry about it being called Polynomial division, mishap on my behalf.
     
    Last edited: Sep 21, 2009
  2. jcsd
  3. Sep 21, 2009 #2

    ehild

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    Try to use the identity

    y3-a3=(y-a)(y2+ay+a2)

    ehild
     
  4. Sep 22, 2009 #3
    Thank you! I'd never have figured that one out myself
     
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