find the three cuberoots of 8( cos 264 + jsin 264) and state which is the principal cuberoot. Show all three roots on an argand diagram.

Answer 1

∛rcisθ = ∛r cis θ/3

so, we have to find all the angles between 0 and 360:

2 cis 88
2 cis (88+120)
2 cis (88+240)