Problem:
Suppose L: K is a Galios extension whose Galios group G is isomorphic to the Klein four group. Assume that K does not have characteristic 2. Show that there exists x, y ε k such that every element of L can be expressed in the form a + b√x + c√y + d√xy with a, b, c, d, ε K.
Additional Information:
This question is basically from Mathematics as well as it is about computation of Galios group isomorphic to Klein four group can be expressed in algebraic form.
Note: The solution is in handwritten format.