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Hi, I'm really struggling to find examples (with proofs) of the following:
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!
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!