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MathNet 2019-part-08 — 179 problems (EN–VI) Question 84

Math Olympiad Vault · MathNet 2019-part-08 — 179 problems (EN–VI)

Question 84

Compute the sum of all positive integers $n$ for which
$$
9 \sqrt{n} + 4 \sqrt{n+2} - 3 \sqrt{n+16}
$$
is an integer.