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Thread: which step is wrong

  1. February 8th 2013, 08:20 AM #1
    deepak
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    which step is wrong

    sqrt(-1/1)=sqrt(1/-1)
    sqrt(-1)*sqrt(-1)=sqrt(1)*sqrt(1)
    i*i=1
    i2=1
    but as per definition i2 = -1.

    please tell me which step is wrong.
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  2. February 8th 2013, 08:27 AM #2
    Plato
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    Re: which step is wrong

    Quote Originally Posted by deepak View Post
    sqrt(-1/1)=sqrt(1/-1)
    sqrt(-1)*sqrt(-1)=sqrt(1)*sqrt(1)
    i*i=1
    i2=1
    but as per definition i2 = -1.

    please tell me which step is wrong.

    The very first. \sqrt{\frac{-1}{1}} does not exist.
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