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Math Help - Rationalising denominator

  1. #1
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    Rationalising denominator

    Hi,
    If i have : [attached image]

    how do i obtain the other result?
    Is it by rationalising denominator?
    i thought that when you rationalise the denominator by multiplying it by
    sqrt.k the numerator becomes: k.sqrt.k ?

    Bit of confusion.
    (The full question involves differentiating, however, my algebra skills have let me down :|)
    thanks

    NOTE: SORRY, that should be a 'k' inside the root sign, not 'x'.
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  2. #2
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    Quote Originally Posted by 99.95 View Post
    Hi,
    If i have : [attached image]

    how do i obtain the other result?
    Is it by rationalising denominator?
    i thought that when you rationalise the denominator by multiplying it by
    sqrt.k the numerator becomes: k.sqrt.k ?

    Bit of confusion.
    (The full question involves differentiating, however, my algebra skills have let me down :|)
    thanks

    NOTE: SORRY, that should be a 'k' inside the root sign, not 'x'.
    Multiply numerator and denominator by sqrt(k). There will be a k you can cancel.
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  3. #3
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    thank you, i'm an idiot -_-
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  4. #4
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    \displaystyle\frac{k}{2\sqrt{k}}=\frac{\sqrt{k}\sq  rt{k}}{2\sqrt{k}}
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