Hi all,
im working on a question involving a primitive 5th root of unity which I will denote as z. I have been asked to show the the field extension of K=Q(z+z^4) is quadratic and to find a square free integer d such that K=Q(squareroot(d)).
I have done done the first part but can’t find the integer d?
Thanks in advance for any help given.
im working on a question involving a primitive 5th root of unity which I will denote as z. I have been asked to show the the field extension of K=Q(z+z^4) is quadratic and to find a square free integer d such that K=Q(squareroot(d)).
I have done done the first part but can’t find the integer d?
Thanks in advance for any help given.