SOLUTION: find a complex number such that radical i = a+bi.

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Question 230805: find a complex number such that radical i = a+bi.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
radical i = a+bi.
sqrt%28i%29+=+a%2Bbi
square both sides
i+=+a%5E2+-+b%5E2+%2B+2abi
2ab = 1 --> a = 1/(2b)
a^2 = b^2
1/(4b^2) = b^2
4b^4 = 1
a = b = 1/2
a = b = -1/2
a = b = 2 complex roots, also