# Inspired by Brian Charlesworth

Algebra Level 4

$\large{\sqrt [ 16 ]{ 1416317954-\frac { 1 }{ 1416317954-\frac { 1 }{ 1416317954-\frac { 1 }{ ...... } } } } =a+\sqrt { b } }$

If above given question can be expressed in the form of two integers $$a$$ and $$b$$ such that $$b$$ is square free. Find $$a+b$$.

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