Hensel's lemma implies that $\sqrt{2}\in\mathbb{Q_7}$. Find a continued fraction expression for $\sqrt{2}$ in $\mathbb{Q_7}$
continued fraction expression for $\sqrt{2}$ in $\mathbb{Q_7}$
2
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number-theory
p-adic-number-theory
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2It's not clear to me how one defines a continued fraction in the 7-adics. – 2012-11-18