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The Artin-Schreier theorem says that every algebraic closure of finite index has index 2, and it's the algebraic closure of a real-closed field.

Page 299 of Algebra by Serge Lang. Google Books Link to the page.

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The Artin-Schreier theorem says that the only every algebraic closure of finite index has index 2, and it's the algebraic closure of a real-closed field.

Page 299 of Algebra by Serge Lang

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The artin-schrier Artin-Schreier theorem says that the only algebraic closure of finite index has index 2, and it's the algebraic closure of a real-closed field.

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