# Complex Roots of Unity/Examples/Square Roots

## Example of Complex Roots of Unity

The complex square roots of unity are the elements of the set:

$U_2 = \set {z \in \C: z^2 = 1}$

They are:

 $\ds e^{0 i \pi / 2}$ $=$ $\ds 1$ $\ds e^{2 i \pi / 2}$ $=$ $\ds -1$