If $K$ is a number field of degree $n$ and discriminant $D$, then the **root discriminant** of $K$ is
\[ \textrm{rd}(K) = |D|^{1/n}.\]
It gives a measure of the discriminant of a number field which is normalized for the degree. For example, if $K\subseteq L$ are number fields and $L/K$ is unramified, then $\textrm{rd}(K)=\textrm{rd}(L)$.

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- Review status: reviewed
- Last edited by David Roberts on 2019-04-30 17:30:47

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- 2019-04-30 17:30:47 by David Roberts (Reviewed)
- 2019-03-20 15:50:27 by John Jones
- 2018-07-08 01:11:06 by Alina Bucur (Reviewed)

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