Frequently Asked Questions
How many n-th roots does a complex number have?
Exactly n distinct n-th roots, evenly distributed around a circle in the complex plane.
What are the roots of unity?
The n-th roots of one. They sit at the vertices of a regular n-gon inscribed in the unit circle and are fundamental to the discrete Fourier transform.
Can the roots be real?
Yes, sometimes. The real cube root of 8 is 2; the other two are complex. The real n-th roots of a positive real number include the principal root, and -root if n is even.
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