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Thread: √u^2 =u for any number u. True or False?

  1. Sep 20th 2011, 06:07 AM #1
    naturebuilder
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    √u^2 =u for any number u. True or False?

    √u^2 =u for any number u. True or False?

    i think it's true...
    Last edited by mr fantastic; Sep 20th 2011 at 07:30 PM. Reason: Copied title into main body of post.
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  2. Sep 20th 2011, 06:14 AM #2
    Plato
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    Re: √u^2 =u for any number u. True or False?

    Quote Originally Posted by naturebuilder View Post
    i think it's true...
    It is false: $\displaystyle \sqrt{(-2)^2}\ne -2~.$
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  3. Sep 20th 2011, 11:19 AM #3
    psolaki
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    Re: √u^2 =u for any number u. True or False?

    Quote Originally Posted by naturebuilder View Post
    i think it's true...

    $\displaystyle \sqrt{(u)^2}= |u|$
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