# 2 and its square root

Algebra Level 3

$\sqrt { 2+\sqrt { 2 } +\sqrt { 2+\sqrt { 2 } +\sqrt { 2+\sqrt { 2 } +\ldots } } }$ The value of above expression is in the form $$\sqrt { a } +b$$, where $$a$$ and $$b$$ are integers, find $$a+b$$.

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