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Math Help - Simplify expression

  1. #1
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    Simplify expression

    Howdy I could use a little help solving this problem.
    (2*(x+11)^(1/2)-x*(x+11)^(-1/2))/(x+11)
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  2. #2
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    Factor out (x+11)^{-1/2} in the numerator, then cancel it out in the denominator.
    Last edited by pickslides; September 2nd 2009 at 04:48 PM. Reason: bad grammar*
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  3. #3
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    Could you explain how those two factor out the (x+11) on the bottom? If I understand you correctly, the top two should negate out to 1?
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  4. #4
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    wait... does it simplify to -9/11 ?
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  5. #5
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    Hello, Nyture!

    Simplify: . \frac{2(x+11)^{\frac{1}{2}} -x(x+11)^{-\frac{1}{2}}} {x+11}
    Multiply by \frac{(x+11)^{\frac{1}{2}}}{(x+11)^{\frac{1}{2}}}

    . . \frac{(x+11)^{\frac{1}{2}}}{(x+11)^{\frac{1}{2}}} \cdot \frac{2(x+11)^{\frac{1}{2}} - x(x+11)^{-\frac{1}{2}}}{x+11} \;\;=\;\;\frac{2(x+11) - x}{(x+11)^{\frac{3}{2}}}

    . . . . . . . = \;\;\frac{2x + 22 - x}{(x+11)^{\frac{3}{2}}} \;\;=\;\;\frac{x+22}{(x+11)^{\frac{3}{2}}}

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  6. #6
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    Ugh, I came up with that answer about 5 times but I guess I never plugged it in. Good to know what the actual right answer is so I can stop reworking. Thanks a lot of the help!
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