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Thread: Simplifying radical expressions

  1. #1
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    Simplifying radical expressions

    k... so...

    How do you simplify these when they are in fraction form.
    1. A radical over a radical
    2. A radical over a non radical
    3. A non radical over a radical?

    All help greatly appriciated!

    [JSC]AL(AL)AMOBOY
    Last edited by jscalalamoboy; May 20th 2008 at 09:02 PM.
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by jscalalamoboy View Post
    k... so...

    How do you simplify these when they are in fraction form.
    1. A radical over a radical
    2. A radical over a non radical
    3. A non radical over a radical?

    All help greatly appriciated!

    [JSC]AL(AL)AMOBOY
    \frac{\sqrt{a}}{\sqrt{b}}=\frac{\sqrt{ab}}{{b}}

    \frac{\sqrt{a}}{b} no need for simplification

    \frac{a}{\sqrt{b}}=\frac{a\sqrt{b}}{b}

    In upper math you (or from what I have seen) rarely do this
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  3. #3
    Moo
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    Hello,

    Quote Originally Posted by Mathstud28 View Post
    \frac{\sqrt{a}}{\sqrt{b}}=\frac{\sqrt{ab}}{{b}}
    Be careful for this one

    If you have \sqrt{ab}, it isn't necessarily equal to \sqrt{a} \sqrt{b}.

    Because a and b can be both negative.

    \sqrt{ab} will be defined, but not \sqrt{a}\sqrt{b}

    For example, let's take a=-2 and b=-3.

    \sqrt{ab}=\sqrt{(-2)(-3)}=\sqrt{6}

    But \sqrt{a} \sqrt{b}=\sqrt{-2} \sqrt{-3}

    Which is... weird
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