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Math Help - radical simplification

  1. #1
    Junior Member
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    radical simplification

    hello can someone please show how to simplify this
    20√3-40
    ---
    √2

    to 20(√3-√2)

    thanks in advance
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by jepal View Post
    hello can someone please show how to simplify this
    20√3-40
    ---
    √2

    to 20(√3-√2)

    thanks in advance
    20\sqrt{3} - \dfrac{40}{\sqrt{2}}

    Multiply the numerator and denominator of the second quotient by the irrational denominator to get rid of the square root:

    20\sqrt{3} - \dfrac{40}{\sqrt{2}} = 20\sqrt{3} - \dfrac{40 \cdot \sqrt{2}}{\sqrt{2} \cdot \sqrt{2}} = 20\sqrt{3} - \dfrac{40 \cdot \sqrt{2}}{2} = 20\sqrt{3} - 20 \cdot \sqrt{2}

    Factor out 20 and you'll get the given result.
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  3. #3
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    thank u!!
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