Question 91
Prove, that for any $p, q \in \mathbb{N}$, such that $\sqrt{11} \gt \frac{p}{q}$, following inequality holds:
$$
\sqrt{11} - \frac{p}{q} \gt \frac{1}{2pq}.
$$
$$
\sqrt{11} - \frac{p}{q} \gt \frac{1}{2pq}.
$$
MathNet 2018-part-01 — 181 problems (EN–VI) Question 91
Math Olympiad Vault · MathNet 2018-part-01 — 181 problems (EN–VI)