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-1=1 lol?

  1. Jun 18, 2010 #1
    -1/1=1/-1
    sqrt(-1/1)=sqrt(1/-1)
    i/1=1/i
    i*(i/1)=i*1/i
    i^2/1=i/i
    -1/1=1
    -1=1 <-- Well my conclusion is that properties don't work with imaginary numbers or did i do something wrong?
     
  2. jcsd
  3. Jun 18, 2010 #2

    arildno

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    Lines 2-to-3 wrong.
    Don't bother to post similar riddles at these forums.
     
  4. Jun 19, 2010 #3
    Why[tex]\sqrt\frac x{y}\not =\frac{\sqrt x}{\sqrt y}[/tex] ??
     
  5. Jun 19, 2010 #4

    Gib Z

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    If x and y are both positive real numbers that is true, but not in general for x and y being complex numbers.
     
  6. Jun 19, 2010 #5

    arildno

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    To expand on GibZ's comment.
    In order to extend the square root operation to work on real&complex number, and not just on the positive reals, you will not be able to retain <i>all</i> properties of the square root operation if you wish it to be self-consistent, and not self-contradictory.
     
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