Hi, I'm really struggling to find examples (with proofs) of the following:(adsbygoogle = window.adsbygoogle || []).push({});

1) For each n>2 give an example of a non-normal extension of Q of degree n.

2) Give examples of normal extensions of Q of degrees 3,4 and 5.

3) Show that for any positive integer n, there exists a normal extension of Q of degree n.

Any help would be much appreciated!

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# Examples of normal and non-normal extensions of Q?

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