Roots of a complex number.

Let $ u$ be a complex number and $ n$ a natural number ($ n \geq 2$ ). An $ n^{th}$ root of $ u$ is a complex number $ z$ such that $ z^n = u$ .

Theorem 1.5.1   Every non zero complex number has exactly $ n$ distinct $ n^{th}$ roots.

The proof of this theorem is given at the beginning of the next subsection.


Noah Dana-Picard 2007-12-24