Positive integers \(x\) and \(y\) satisfy the equation \(\sqrt{x}-\sqrt{11}=\sqrt{y}\).

What is the maximum possible value of \(\dfrac{x}{y}\)?

Positive integers \(x\) and \(y\) satisfy the equation \(\sqrt{x}-\sqrt{11}=\sqrt{y}\).

What is the maximum possible value of \(\dfrac{x}{y}\)?