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Fraction with Radical - need to simplify (easy)

  1. Apr 5, 2005 #1
    This is probably easy for everyone on this forum but me. Can someone please explain this to me.

    I need to simplify this:

    (sqrt(x) - 4) / (x - 16))

    am I on the right track by doing it this way...

    (sqrt(x) - 4) / (sqrt(x) - 4) (sqrt(x) + 4) .....then cancel the (sqrt(x) - 4) in the Numerator and Denominator. To have my final answer be...

    sqrt(x) + 4

    Please help.
  2. jcsd
  3. Apr 5, 2005 #2


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    Science Advisor
    Homework Helper

    You mean

    [tex] \frac{1}{\sqrt{x}+4} [/tex]

  4. Apr 5, 2005 #3

    Is that correct?

    And thank you for the fast reply!
  5. Apr 5, 2005 #4


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    Science Advisor

    Yes, that's correct.

    [tex]x-16= (\sqrt{x}-4)(\sqrt{x}+4)[/tex]
  6. Apr 5, 2005 #5

    Thank you, I really appreciate your help! :)
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