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Math Help - Surd Fraction

  1. #1
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    Surd Fraction

    hi,
    anyone got some ideas on figuring out this answer to the attached question.
    Thanks
    .
    Attached Files Attached Files
    Last edited by Seaniboy; June 26th 2013 at 01:05 PM.
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  2. #2
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    Re: Surd Fraction

    There's no question here, just a couple of equations but no statement of what to do.
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  3. #3
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    Re: Surd Fraction

    I presume that the "question" is in the second, uncompleted, "equation".

    If x= \sqrt{k}+ \frac{1}{\sqrt{k}}+ 1 then x^2- 2x= . Looks to me like its just a matter of doing the calculation.

    x^2= (\sqrt{k}+ \frac{1}{\sqrt{k}}+ 1)^2= (\sqrt{k}+ \frac{1}{\sqrt{k}})^2+ 2(\sqrt{k}+ \frac{1}{\sqrt{k}})+ 1

    -2x= 2(\sqrt{k}+ \frac{1}{\sqrt{k}})+ 2 so subtracting just gives
    (\sqrt{k}+ \frac{1}{\sqrt{k}})^2- 1

    Go ahead and multiply that square and see what you get.
    Thanks from topsquark
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  4. #4
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    Re: Surd Fraction

    Hi,
    Thank you very much for taking the time to answer this question. Apologies for failure to specify question detal,l but you nailed it. Kind regards,
    Sean.
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