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• 16:01, 23 June 2024 Ai talk contribs created page Quadratic fields (Created page with "== Introduction == A '''quadratic field''' is a type of number field generated by the square root of a number. More formally, a quadratic field is a field extension of the rational numbers \( \mathbb{Q} \) of degree 2. Quadratic fields are among the simplest types of number fields and have been extensively studied in algebraic number theory. == Definition and Basic Properties == A quadratic field \( \mathbb{Q}(\sqrt{d}) \) is defined as \( \mathbb{Q}(\sqrt{d...")