# Phiiii-dom

Level pending

If $$\phi = \sqrt {n + \sqrt {n + \sqrt {n + ...}}}$$, where $$\phi$$ represents $$\frac {1 + \sqrt {5}}{2}$$, and $$\frac {n + ni}{3n - ni}$$ is a complex number which can be solved to equal $$\frac {a + bi}{c}$$, where $$i^2$$ equals $$-1$$ and $$a$$, $$b$$ and $$c$$ are positive integers, find the value of $$(a + b + c)^{\frac {c}{a + b}}$$?

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