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Math Help - simplifying under a radical

  1. #1
    Junior Member
    Joined
    May 2009
    Posts
    66

    simplifying under a radical

    Can

    \sqrt{9-x^2}

    be simplified to

    3-x

    ?
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  2. #2
    Senior Member I-Think's Avatar
    Joined
    Apr 2009
    Posts
    288
    No, because 9-x^2=(3-x)(3+x)
    So  \sqrt{9-x^2}=\sqrt{(3-x)(3+x)}

    You can even put in a number to test.
    Let x=1

    For x=1
    \sqrt{9-x^2}=2\sqrt{2}
    While
    3-x=2
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