How many branches does a complex function have?

[ridethespiral]

Homework Statement

How many branches does the function
$$f(z) = \sqrt{z(1-z)}$$ have on the set $$\Omega = \mathbb{C} \backslash [0,1]$$

Homework Equations

The Attempt at a Solution

Not really sure how to go about it at all. Our lecturer didn't say too much about branches but still expects everyone to be able to handle them, the only example he's given us is a branch of log(z), which isn't too bad as it just involves restricting the argument.

Any help at all would be appreciated.

 

[mfb]

Hint: How many complex roots does a complex number have?

 

[ridethespiral]

Alright, so $$z(z-1)$$ will have two square roots, so will the answer just be two?