Let $E/F,L/E$ be normal field extensions.
What would be an example such that $L/F$ is not normal?
2026-04-08 19:10:05.1775675405
What is an example of $E/F,L/E$ are normal but $L/F$ is not.
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$\mathbb Q[\sqrt{2}]/\mathbb Q$ and $\mathbb Q[\sqrt[4]{2}]/\mathbb Q[\sqrt{2}]$ are normal, but $\mathbb Q[\sqrt[4]{2}]/\mathbb Q$ is not.