Question

Find the 3 cubic roots of unity (1 + 0i) in complex standard form.

Answer 1

Let the cube root of 1 be x i.e., 3√ 1 = x.

Then by definition, x3 = 1 or x3 � 1 = 0 or (x � 1) (x2 + x + 1) = 0

Either x � 1 = 0 i.e., x = 1 or (x2 + x + 1) = 0