Groups and FieldsHardField Extensions ShareField Extensions · Hard problem2\sqrt22 is a root of x4−4x^4-4x4−4. Is x4−4x^4-4x4−4 its minimal polynomial over Q\mathbb QQ?AYes: it is monic with root 2\sqrt22BNo: the minimal polynomial is x−2x-\sqrt2x−2CNo: x4−4=(x2−2)(x2+2)x^4-4=(x^2-2)(x^2+2)x4−4=(x2−2)(x2+2), and the minimal polynomial is x2−2x^2-2x2−2DYes: it has no rational rootsCheck Show answer Walk through it step by step Practice more like this Review this concept