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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