Assume that $F$ is infinite, that $v,w \in K$ are algebraic over $F$, and that $w$ is a root of a separable polynomial in $F[x]$. How will I be able to prove that $F(v,w)$ is a simple extension of $F$?
2026-04-01 19:15:15.1775070915
simple extension with algebraic over the field
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