Tuesday, February 12, 2008

What Went Wrong?

In case you don't know: i = √-1

-1 = -1
-1/1 = -1/1
-1/1 = 1/-1
√(-1/1) = √(1/-1)
i/1 = 1/i
i = 1/i
i * i = 1
-1 = 1


  1. yes, i is a tricky number (i am a tricky number?)

    the magic happened in the transition from line 4 to line 5. on the right side, you made a form of √(-1) to be equal to 1/i, which is, by definition, -√(-1). so, essentially, you created a negative sign right there. anyway, I'm not sure why the rules of fractions and radicals wouldn't apply to i in that case, though...nice trick.

  2. I knew you would like it Abe. ;-)


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