1. Compute
[ (1-i)^10(sqrt3 + i)^5 ] / (-1-i*sqrt3)^10
2.
Find the real part of (sqrt3 - i)^2011
3. Let z = 3[cos(85) + i*sin(85)]. Find the smallest positive value of r such that r[cos(45) + i*sin(45)] = z^n for some positive integer n.
Here's number 1:
Try a similar approach for the others.
