Question 36
Compute the smallest positive integer $n$ for which
$$
\sqrt{100+\sqrt{n}}+\sqrt{100-\sqrt{n}}
$$
is an integer.
$$
\sqrt{100+\sqrt{n}}+\sqrt{100-\sqrt{n}}
$$
is an integer.
MathNet 2018-part-07 — 177 problems (EN–VI) Question 36
Math Olympiad Vault · MathNet 2018-part-07 — 177 problems (EN–VI)