 Solution

ID: past-exam-of-the-probability-statistics-and-options-ii-course-of-the-university-of-oxford/2007/b/2/i/solution

The sixth roots of unity all belong to

Q (ζ_{6})

, where

ζ_{6} = (1 + - 3) /2

X^{2} - X + 1

, which has no rational root. Thus the splitting field is

Q (- 3)

and

[K : Q] = 2.

 New to topics? Read the docs here!