Express z=2+2iz = 2 + 2iz=2+2i using Euler's formula.
22eiπ/42\sqrt{2}e^{i\pi/4}22eiπ/4
2eiπ/42e^{i\pi/4}2eiπ/4
4eiπ/44e^{i\pi/4}4eiπ/4
22eiπ/22\sqrt{2}e^{i\pi/2}22eiπ/2