Prove that the field $\mathbb{Q}(3^{1/n},e^{2i\pi/n})$ is not contained in any cyclotomic extension.
Can someone show me how to proceed?
Prove that the field $\mathbb{Q}(3^{1/n},e^{2i\pi/n})$ is not contained in any cyclotomic extension.
Can someone show me how to proceed?
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