I am stuck with an exercise that demands me to draw diagrams of Riemann surfaces of functions that consist of roots - and their compositions, e.g. $\sqrt{z}+\sqrt{z-1}$ or $\sqrt{1-\sqrt{z-1}}$.
I understand the idea, but are there any rules on how to work with roots of higher order or the sum of such roots? Because I didn't find any.
thank you very much,
Marie!