Question 52
Prove that for all even positive integers $n$ the following inequality holds
$$
a) \{n\sqrt{6}\} \gt \frac{1}{n}; \quad b) \{n\sqrt{6}\} \gt \frac{1}{n - 1/(5n)}.
$$
$$
a) \{n\sqrt{6}\} \gt \frac{1}{n}; \quad b) \{n\sqrt{6}\} \gt \frac{1}{n - 1/(5n)}.
$$