Quadratic number fields

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Quadratic number fields $\scriptstyle \mathbb {Q} [{\sqrt {d}}]\,$ are number fields in which all numbers are of the form $\scriptstyle a+b{\sqrt {d}},\ a,\,b\,\in \,\mathbb {Q} \,$ and $\scriptstyle d\,$ is squarefree.

See also: Quadratic integer rings.