Question 108
Determine the number of pairs of integers $(m, n)$ such that
$$
\sqrt{n+\sqrt{2016}}+\sqrt{m-\sqrt{2016}} \in \mathbb{Q}
$$
$$
\sqrt{n+\sqrt{2016}}+\sqrt{m-\sqrt{2016}} \in \mathbb{Q}
$$
MathNet 2016-part-02 — 184 problems (EN–VI) Question 108
Math Olympiad Vault · MathNet 2016-part-02 — 184 problems (EN–VI)