Let's say I've got a field $\mathbb{Q}[i]$\ $\mathbb{Q}$. What's the degree of the field extension $\mathbb{Q}[i]$\ $\mathbb{Q}$ : $\mathbb{Q}$? Clearly without the exclusion this has a degree of 2; since the degree of any field extension is an integer, I'd posit that the degree of the above field extension is also 2.
2026-04-05 07:38:41.1775374721
Degree of an exclusionary Field Extension
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