- 57

- 1

**1. Homework Statement**

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. Homework 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).