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Math Help - Square root help!

  1. #1
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    Sep 2010
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    Square root help!

    I'm in the middle of solving a difficult calculus problem and unfortunately it's been years since I've taken math. I'm trying to simplify an equation and I can't seem to remember what the different ways to write square root are. I know that the square root of x can be written as x^(1/2).

    What is another way to write x^(3/2)? Is it the same as 3*x^(1/2)?
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  2. #2
    Junior Member bondesan's Avatar
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    Remember that x^{\frac{a}{b}} = \sqrt[b]{x^a}. Sometimes is useful as well write x^{\frac{a}{b}} as (x^{a})^{\frac{1}{b}}.
    When you take the derivative of a function like this you should use the general formula: \dfrac{d}{dx}x^{\frac{a}{b}} = \dfrac{a}{b}\cdot x^{(\frac{a}{b}-1)}.
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  3. #3
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    Sep 2010
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    Well, here's the real problem. I'm trying to simplify this equation and I'm completely stuck. I have [-(9-t^2)^(1/2)] + [(t^2)/[(9-(t^2))^(3/2)] all divided by (9-(t^2)).

    My book says that somehow this simplifies to 1+ 9/[(9-(t^2)]^(3/2) . If you could help me simplify this by any chance that would be awesome!
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