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- Apr 30th 2009, 11:29 PM #1

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## i

Let i be the complex number (0,1)

Show that i = (0,1) and (0, -1) are the only square roots of -1. Hint: Suppose that (x,y)(x,y) = (-1,0) and show that x = 0 and y = +-1. You can use the fact that, for real numbers, the only square roots of positive 1 are +-1. You also know that x^2 >= 0.

I have no idea what to do...Any advice?

- Apr 30th 2009, 11:50 PM #2

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