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The nth Roots of Unity

YouTubeMike, the Mathematician

The nth Roots of Unity

We discuss how to find the nth roots of unity. These complex numbers are the n solutions to the polynomial equation z^n = 1. We will use Euler's formula and deMoivre's Theorem to find the solutions. These numbers all lie on the unit circle, satisfy the cyclotomic equation if z is not 1, and play an important role in the study of the discrete ...

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