111.3.21補充
Prove that \((\sqrt{2}-1)^n \forall n\in Z^{+}\) can be represented as \(\sqrt{m}-\sqrt{m-1}\) for some \(m\in Z^{+}\).
(1994Canada National Olympiad,https://artofproblemsolving.com/ ... a_national_olympiad) 作者: thepiano 時間: 2017-5-13 13:23