Let F be a field with char(F)≠2, and let a and b be elements
of F such that x^2-a and x^2-b are irreducible over F. If K is
a splitting field of f = (x^2-a)(x^2-b) over F, show that [K:F]
is 2 or 4 according as x^2-ab is reducible or irreducible over F.
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.112.218.142