# My Continued Fraction

Algebra Level 2

$\large x=2+\frac { 1 }{ 2+\frac { 1 }{ 2+\frac { 1 }{2 + \ldots } } }$

If $$x$$ is the solution to the nested fraction above, and it can be written as $$a+\sqrt { b }$$

Express your answer as the sum of $$a+b$$.

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