Hatcher-Topology-of-Numbers · Problem 4.2.7

Classification of Quadratic Forms

Mathematics — Algebraic Topology · continued-fractions-quadratic-forms

Problem

Compute the continued fraction for

\sqrt{21}

using the form

x^2 - 21y^2

. Can you explain the relationship between this continued fraction and the one for

\sqrt{7/3}

computed in this section?