Question

How many different nth roots does a nonzero complex number have?

Answer 1

The Complex nth Roots Theorem with any nonzero complex number has exactly n ∈ N distinct nth roots.  

What is a non-zero complex number?

This is the quantity which does not equal zero is said to be nonzero. A real nonzero number must be either positive or negative, and a complex nonzero number can have either real or imaginary part nonzero.

The roots lie on a circle of radius centered at the origin and spaced out evenly by angles of 2π/n.

Learn more about the nth root here:

brainly.com/question/1581238