# Trig-gono-metry-2

Geometry Level 3

The perimeter of the octagon formed by the roots of the polynomial equation $$z^8-256=0$$, plotted in the complex plane in the order can be expressed as $$a\sqrt{b-\sqrt b}$$, where $$a$$ and $$b$$ are positive integers with $$b$$ being square-free. Find $$a+b$$.

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