Field extension

Quadratic extension

A quadratic extension is a field extension 𝐿 :𝐾 of degree [𝐿 :𝐾] =2. #m/def/ring Hence 𝐿 =𝐾[√𝑑] for some squarefree 𝑑 ∈𝐾. In particular, a quadratic extension of ℚ is called a Quadratic field.

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