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Math Help - FOIL of square root

  1. #1
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    FOIL of square root

    The problem is:

    (sqrt(x-5)-sqrt(5))/(x-10)x(sqrt(x-5)+sqrt5)/(sqrt(x-5)+sqrt5)

    This link shows exactly what the equation looks like
    (sqrt(x-5)-sqrt(5))/(x-10) (sqrt(x-5)+sqrt5)/(sqrt(x-5)+sqrt5 - Wolfram|Alpha)

    The complete steps for FOIL on the numerator is what i'm stuck on. I know the numerator will be (x-5)-5 after the numerator is solved and thereon i know what to do.

    thanks
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  2. #2
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    The numerator is a difference of two squares: \displaystyle (a - b)(a + b) = a^2 - b^2.
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