Are irrational numbers well-approximated over $ p$ -adic numbers? For example let $ x = \sqrt{2}$ then $ x \notin \mathbb{Q}_3$ . Can we have infinitely many rationals $ \frac{m}{n}\in \mathbb{Q}$ such that: $ $ \left|\sqrt{2} – \frac{m}{n}\right|_3 < |n|_3 $ $ What happens if we put more than one place. Could we have twoRead more