I wonder whether there is a number field that is not separable over $\mathbb{Q}$. I look for it because in books, sometimes I see "separable" and sometimes do not. How can a minimal polynomial of an element has multiple roots?
2026-03-28 09:44:11.1774691051
Number fields that are not separable over $\mathbb{Q}$
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It can't happen for $\mathbb{Q}$ because that has characteristic zero.
In fact it can only happen for infinite fields of finite characteristic.