Branch Points and Branch Cuts for cube root

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Having trouble with finding the branch points/branch cuts of this function:

f(z)= $3\sqrt\frac{(z-2)(z+1)}{(z+2)}$

ive tried using the equation $z=re^{i\theta +2\pi n}$ but then I don't really know how to approach the question.

Any advice would be much appreciated.