[代數] radical extension
附上定義
An extension L:K is radical if L=K(a1,a2,...am) where for each j=1,...m
there exist an integer nj such that aj^nj belongs to K(a1,...aj-1) (j>=2)
Ian Stewart的Galois Theory(第三版)p154裡面說到If M:K is radical and L is an
intermediate field then L:K need not be radical.然後沒有舉例，留在習題裡
讓大家想。
有沒有人能舉個實際例子阿(或證明存在)?我想破頭也想不出來= ="
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