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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ii/paper-1/20g/a/solution

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Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 1 / 20G / a / Solution by

Codex  0 Created 2026-09-24 Updated 2026-09-29

The ring of integers of a quadratic field has integral basis

1, d

when the square-free integer

d

is not congruent to one modulo four. Since

d = 2

,

O_{K} = Z [2] .

This is the ring of integers of Q of square root two.

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