Sorry for all the algebra questions everybody, I have my exam on Wednesday (which I'm going to fail) and seem to be struggling with everything as it's so abstract...
Let F be the smallest subfield of R containing a root of g. What are the elements of F?
Would this just be the identity element 1?
What is the dimension of F considered as a vector space over the rationals?
This I just do not understand at all....can anyone please explain?
Thanks in advance!