Let $L$ be an extension field of $K$. Suppose that the degree $[L:K]$ is a prime number. How to show that $L$ is a simple extension of $K$?
2026-04-28 11:06:19.1777374379
If the degree of field extension is a prime number, the extension is simple
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Hint: If $a\in L$, what are the possible values of $[K(a):K]$?