Complex power of a complex number and principal logarithms

Question

My questions are:

a) Express (sqrt(3) - i)^2i in Cartesian form.

b) Hence, write Re(p.v. (sqrt(3) - i)^2i)

Answer 1

(sqr3 - i)^2 = 3 -2isqr3 + 1 = 4-i2sqr3