SOLUTION: how to find the square root of i
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Question 482564: how to find the square root of i
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Use  + i*\sin(\frac{\pi}{2}))
(I know this uses a circular definition but you can still find the square root of i this way)
Take square root of both sides:
 + i \sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}i)
Similar to real numbers, there can be a negative square root (e.g. sqrt(9) being equal to -3 as well as 3), but these roots are usually ignored.
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