Can someone to solve the followings !

i. solve the equation z^2 = 1 + i

ii. prove that 2i is a root of z^4 + 5z^2 + 4 = 0. find the other roots of the equation.

iii. if z = x+iy , then sketch the regions satisfying the inequality given by

a) | z− 2 + | ≤ 1

b) | z− 4| ≥ |z|

c) 0 ≤ arg z ≤ pi/4

d) im z > 1 and |2z + 3| > 4

iv. find all the values of 8^1⁄3