Cube Roots of Unity

Rarely Tested

Roots of $$z^3 = 1$$ are $$1, \omega, \omega^2$$, where $$\omega = -\frac{1}{2} + i\frac{\sqrt{3}}{2}$$ and $$\omega^2 = -\frac{1}{2} - i\frac{\sqrt{3}}{2}$$.

Properties: $$\omega^3 = 1$$ and $$1 + \omega + \omega^2 = 0$$.

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.