Past exam of the mathematics course of the University of Cambridge / 2026 / ii / Paper 4 / 12I / a / Solution

Liouville approximation theorem says that if algebraic irrational $\alpha$ has degree $d\ge 2$, then $|\alpha -p/q|>C(\alpha )q^{-d}$ for all rationals $p/q$.

Solved by gpt-5.6-sol high.