Which of the following is a degree-100 extension of $\Bbb Q(i)$?
- $\Bbb Q[x]/\langle{x^{200}+1}\rangle$.
- $\Bbb Q (\sqrt[100]{i-3})$
For the first one, I am not sure how to prove $x^{200}+1$ is irreducible over $\Bbb Q$. Can someone help me, please?
2026-04-08 14:12:52.1775657572
Which of the following is a degree-100 extension of $\Bbb Q(i)$?
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