Finf the following

Question

All 4th roots of -8+8i(root3) in Cartesian form.

Answer 1

||z|| = 16

θ = 120º

z^1/4 =

6^1/4(cos 120°/4 + i sin 120°/4)

6^1/4(cos 480°/4 + i sin 480°/4)

6^1/4(cos 840°/4 + i sin 840°/4)

6^1/4(cos 1200°/4 + i sin 1200°/4)

Answer 2