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Homework Help: Rationalize the numerator of your formula?

  1. Jul 1, 2016 #1
    1. The problem statement, all variables and given/known data
    (b) Rationalize the numerator of your formula in (a) to rewrite the expression so that it looks like f(h)/g(h), subject to these two conditions: (1) the numerator f(h)defines a line of slope -1, (2) the function f(h)/g(h) is defined for h=0. When you do this

    2. Relevant equations
    (0.75^1/2) - ((12-4h-h^2)/16)^1/2 / h

    3. The attempt at a solution

    To rationalize the numerator I multiplied the numerator and the denominator by the conjugate, which in this case is (0.75^1/2) + ((12-4h-h^2)/16)^1/2. The numerator simplified to h/16 + 4/16.
    the denominator simplified to just the conjugate. What did I do wrong?

  2. jcsd
  3. Jul 2, 2016 #2


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    Staff Emeritus
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    You really should have the entire numerator in parentheses.
    ((0.751/2) - ((12-4h-h^2)/16)1/2) / h

    or use LaTeX .

    ##\displaystyle \frac{0.75^{1/2} - ((12-4h-h^2)/16)^{1/2} }{h} ##

    What makes you think the result is wrong ? (Well, it isn't quite right but it's close.)
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