Usually means: Extension of rationals by square root.
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We found 5 dictionaries that define the word quadratic field:

General (2 matching dictionaries)
  1. quadratic field: Wiktionary
  2. Quadratic field: Wikipedia, the Free Encyclopedia

Science (3 matching dictionaries)
  1. A Glossary of Mathematical Terms (No longer online)
  2. Quadratic Field: Eric Weisstein's World of Mathematics
  3. quadratic field: PlanetMath Encyclopedia

Definitions from Wiktionary (quadratic field)

noun:  (algebraic number theory) A number field that is an extension field of degree two over the rational numbers.

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