1. The problem statement, all variables and given/known data Given that the standard square root sqrt(anything) has a branch cut from (-inf,0), find the branch cuts of the following: z+sqrt(z^2-1) z+isqrt(1-z^2) z+sqrt(z+1)sqrt(z-1) 2. Relevant equations 3. The attempt at a solution I understand what branch cuts do (multivalue functions -> single value), I am just having trouble since all three of those expressions can be reduced to the same expression - I don't see why they would need different cuts? I can't really find any examples online and my book only has less than one paragraph explaining branch cuts (let alone examples).