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Math Help - Complex Analysis Square Root of Z^2

  1. #1
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    Complex Analysis Square Root of Z^2

    It is plainly true of any complex number z that either \sqrt{z^2}=z or \sqrt{z^2}=-z. Identify the set of z for which the minus set represents the proper choice. I believe the answer is the set of imaginary numbers, but am not sure. ?
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  2. #2
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    Re: Complex Analysis Square Root of Z^2

    I don't understand what you mean by "the proper choice". Why would either of those be "proper" or "not proper"? "Proper" in what sense?
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    Re: Complex Analysis Square Root of Z^2

    I took the question to mean for which set is -z the right answer? Normally, in the real numbers, we use z as the answer. So I am thinking for for -z to be the "correct" answer, we would be in the imaginary numbers. Right?
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    Re: Complex Analysis Square Root of Z^2

    Quote Originally Posted by tarheelborn View Post
    It is plainly true of any complex number z that either \sqrt{z^2}=z or \sqrt{z^2}=-z. Identify the set of z for which the minus set represents the proper choice. I believe the answer is the set of imaginary numbers, but am not sure. ?
    Assuming that this is the language of your textbook and/or your instructor, What is meant by "proper choice"? What specifically is this referring to?

    I suspect that your answer for the question in the Original Post is incorrect, but it's not possible to be sure about this without a precise definition of "proper choice".
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