# Cunning ploy

Geometry Level 4

If the exact value of $$\tan { \left( \frac { 2\pi }{ 13 } \right) } +4\sin { \left( \frac { 6\pi }{ 13 } \right) }$$ is of the form $$\sqrt { A+2\sqrt { B } }$$ where $$A$$ and $$B$$ are positive integers, find the value of $$A+B$$.

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