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Math Help - writing radical in simpler form?

  1. #1
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    writing radical in simpler form?

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  2. #2
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    Quote Originally Posted by deekay930 View Post
    Split into prime factors

    20 = 2 \times 2 \times 5

    Use the rule \frac{\sqrt{ab}}{\sqrt{c}} = \sqrt{a} \cdot \sqrt{b} \div \sqrt{c}

    \sqrt{a^2} = a

    \sqrt{\frac{2^2 \cdot 5 \cdot (x^2)^2 \cdot 5x}{2^2 \cdot x^2 \cdot x}}



    I get the answer 5x
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  3. #3
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    Okay.
    Last edited by deekay930; December 19th 2009 at 02:49 PM. Reason: I understand it now.
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  4. #4
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    Hello, deekay930!


    Simplify: . \frac{\sqrt{20x^4}\cdot\sqrt{5x}}{\sqrt{4x^3}}

    . . \frac{\sqrt{20x^4}\cdot\sqrt{5x}}{\sqrt{4x^3}} \;=\;\frac{\sqrt{100x^5}}{\sqrt{4x^3}} \;=\;\sqrt{\frac{100x^5}{4x^3}} \;=\;\sqrt{25x^2} \;=\;5x

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