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Math Help - Simplify expression

  1. #1
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    Simplify expression

    Any help would be appreciated... thanks

    a2b
    __________
    ab2 a1/2 b3
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  2. #2
    Newbie gs.sh11's Avatar
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    a2b
    __________
    ab2 a1/2 b3 -- Is a2b a^2b or just a(2b)? - Please use paranthesis and ^ signs for exponents, so it is easier to read.
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  3. #3
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by Mr Smith View Post
    please use latex, I can't understand your problem.
    I'd suspect  \frac{a^2b}{ab^2+b^3\sqrt{a}}

    As it happens you can factor \sqrt{a} and b^2 from the denominator:

    \frac{a^2b}{b^2\sqrt{a}(\sqrt{a}+b)}

    b and \sqrt{a} cancel:

    \frac{\sqrt{a}}{b(\sqrt{a}+b)}


    You could then multiply by it's conjugate if you wanted to rationalise the denominator

    \frac{\sqrt{a}}{b(\sqrt{a}+b)} \cdot \frac{b(\sqrt{a}-b)}{b(\sqrt{a}-b)}

    = \frac {b\sqrt{a}(\sqrt{a}-b)}{b^2(a-b^2)}

    And you may cancel a b

    = \frac {\sqrt{a}(\sqrt{a}-b)}{b(a-b^2)}
    Last edited by e^(i*pi); October 2nd 2009 at 11:04 AM. Reason: edited latex to make expression clearer
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  4. #4
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    Sorry only a newbie but will look up how to use it, for now its:

    a squared x b
    divided by
    a x b squared - a to the power of 1/2 x b cubed
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