[代數] 2題Field的問題
各位大大好，小弟我在做練習的時候碰到兩個問題，想不到該怎麼做，
想請各位大大給些提示。
1.(a) Let F be a field of characteristic 0. Determine all square roots of
elements of F that a quadratic extension of the form F(√a) contains
(b) Classify quadratic extension of Q (Q是有理數)
這題實在沒有頭緒，也不懂要怎麼classify.....
2. Let f be a polynomial of degree n with coefficient in F and let K be a
splitting field for f over F. Prove that [k:F]devides n!
感謝各位大大的解答與提示 :D
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