If $K$ is a number field of degree $n$ and discriminant $D$, then the **root discriminant** of $K$ is
\[ \textrm{rd}(K) = |D|^{1/n}.\]

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**Knowl status:**

- Review status: beta
- Last edited by John Jones on 2012-07-25 09:08:55.558000

Root discriminant of a number field

If $K$ is a number field of degree $n$ and discriminant $D$, then the **root discriminant** of $K$ is
\[ \textrm{rd}(K) = |D|^{1/n}.\]

- Review status: beta
- Last edited by John Jones on 2012-07-25 09:08:55.558000