# 245 followers problem

Algebra Level 5

Given that $$x$$ and $$y$$ are positive reals satisfying $$\dfrac1x + \dfrac{245}y = 1$$, the minimum value of $x+y+ \sqrt{x^2+y^2}$ can be expressed as $$A+ B\sqrt C$$, where $$A,B$$ and $$C$$ are positive integers with $$C$$ square-free. Find the value of $$A+B+C$$.

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