We have t find the complex cube root of 8
The cube roots of 8 are 2, 2ω and 2ω2 where ω=−12+√32i is the primitive Complex cube root of 1.
The cube roots of 8 plotted in the Complex plane on the circle of radius 2
They can be expressed as:
One way of finding these cube roots of 8 is to find all of the roots of x3−8=0.
The quadratic factor can be solved using the quadratic formula: