Which of the following is NOT a root of z^2 = 1-sqrt3i to the nearest hundreth.

Question

a) -0.22+1.24i
b) -0.97-0.81i
c) 1.02-0.65i
d) 1.18-0.43i

Thanks for any help you can give me.

Answer 1

I don't get it. NONE of those numbers, when squared, give you anything close to 1 - i sqrt3. In polar form r(e^i theta), the magnitude r of a valid answer would have to be 2. None of the four choices comes close.

Answer 2

I agree with drwls.

I simply squared some of your answers and should have gotten 1-√3i

none worked, so none are roots.