Question

find the cube root of unity

Answer 1

Cube roots of one are given by the solutions for equation:

${x}^{3} - 1 = 0$

$x_{1,2,3} = 1, \frac{ -1 }{2} + \frac{ \sqrt{ - 3} }{2} , \frac{ - 1}{2} - \frac{ \sqrt{ - 3} }{2}$