How do you use De Moivre's Theorem to find the roots of complex numbers?

Answer 1

April Webster

To find the nth roots of a complex number using De Moivre’s Theorem, express the complex number in polar form: z = r(cos θ + i sin θ). The nth roots are given by: z_k = r^(1/n) [cos( (θ + 2kπ)/n ) + i sin( (θ + 2kπ)/n )], where k = 0, 1, …, n-1.