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Math Help - Those pesky square roots

  1. #1
    Junior Member fluffy_penguin's Avatar
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    Talking Those pesky square roots

    1)

    I type this in my calculator but I get domain error and I put in N, but it was wrong.

    2)
    I think it's |z| ? I'm not sure...

    3)
    Would this be x^4
    Last edited by fluffy_penguin; October 31st 2007 at 05:24 PM.
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by fluffy_penguin View Post
    1)

    I type this in my calculator but I get domain error and I put in N, but it was wrong.

    2)
    I think it's |z| ? I'm not sure...

    3)
    Would this be x^4
    1) is it 4?
    2) my answer is z
    3) i think you're right..
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  3. #3
    Junior Member fluffy_penguin's Avatar
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    1. How did you get 4? I get domain error. > >
    2. Ok ty.

    I'd feel better if you were sure I was right for 3.
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  4. #4
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by fluffy_penguin View Post
    1. How did you get 4? I get domain error. > >
    2. Ok ty.

    I'd feel better if you were sure I was right for 3.
    -4 is a constant number and if it is raised to an even power, it will become positive.. hence, if you take an even root, it is always defined.. i think, check out how you typed it on you gadget..
    for number three, by definition,

    \sqrt{x^8} = \sqrt{({x^4})^2} = |x^4|

    but x^4 is always positive, hence you can write it simply x^4
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  5. #5
    Junior Member fluffy_penguin's Avatar
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    Thanks. ^ ^
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  6. #6
    Junior Member
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    Number 1 could be \pm 4, but assuming you are taking principal roots the answer would be 4
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