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I agree.
Not quite sure about that radical being used with imaginaries 
it's just notation.. it's extremely common in complex analysis to have √z denote the value of z^(1/2) in the principal branch
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As far as I remember z has two sqrts with 180 degree apart. When you use radicals, does it mean both or either one?
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it just denotes the same thing as z^(1/2) would
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