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## Homework Statement

Hi, I'm stuck with this question:

How many branches (solutions) and branch points does the function

f(z) = (z2 +1 +i)1=4 have? Give an example of a branch of the multi-

valued function f that is continuous in the cut-plane, for some choice

of branch cut(s). Now by choosing different branch cut(s), provide a

different example.

## Homework Equations

f(z) = (z2 +1 +i)1=4

## The Attempt at a Solution

So I've done the first part, by setting f(z) = 0 then solving for two solutions of z to be sqrt(-1-i) and z= -sqrt(-1-i), but I'm not sure how to proceed onto the next part of the question. [/B]