I have to solve this exercise:
"Given that (a+bi)^2 = 3+4i obrain a pair of simultaneous equations involving a and b. Hende find the two square roots of 3+4i. Hence find the two suqre roots of 3+4i."
I don't really know to do do it.
2. The attempt at a solution
Well, that's what I thought:
(a+bi)^2 = 3+4
we group them:
And now I don't even know if what I've done is good, and if it's good what should be the next step?