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Omni-MATH / Is there an integer n such that √(n−1)+√(n+1) is a rational number?

Problem

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problem

Is there an integer nn such that n−1+n+1\sqrt{n-1}+\sqrt{n+1} is a rational number?
Plain-text mathematical notation (without MathML)
Is there an integer n such that √(n−1)+√(n+1) is a rational number?
Original LaTeX notation
Is there an integer $n$ such that $\sqrt{n-1}+\sqrt{n+1}$ is a rational number?

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