Review question

# If $\sqrt{x}-\sqrt{11}=\sqrt{y}$, when is $x/y$ a maximum? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9499

## Suggestion

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

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

How could get rid of at least some of the square roots?

What can we now deduce, remembering that $x$ and $y$ are positive integers?