最終更新日:2022/12/23
In the first case X²-2, the minimum polynomial of √2, splits completely over Q (√2); in the second case we see that X³-2, the minimum polynomial of 3√2, does not split completely over Q (3√2).
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In the first case X²-2, the minimum polynomial of √2, splits completely over Q (√2); in the second case we see that X³-2, the minimum polynomial of 3√2, does not split completely over Q (3√2).