Algebraic Function/Examples/Square Root

Examples of Algebraic Functions
Let $f: \C \to \C$ be the complex function:
 * $\forall z \in \C: \map f z = z^{1/2}$

Then $f$ is an algebraic function.

Proof
We have that $w = z^{1/2}$ is a solution to the polynomial equation:


 * $w^2 - z = 0$

The result follows.