# Not only AM-GM 2 (The Other AM-GM Part 4)

Algebra Level 4

Let $$x$$ and $$y$$ be positive real numbers such that $$5x + 12y = 60$$. Find the minimum value of $$\sqrt{x^2 + y^2}$$.

The answer is a form of $$\dfrac{a}{b}$$, where $$a$$ and $$b$$ are positive coprime integers. Submit your answer as $$a-b$$.

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