a basis is:Ideas:
1. Well I know if I looked at (3)^1/2 over Q
Then (3)^1/2 has minimal polynomial x^2-3, so degree 2 over Q
a basis is(7)^1/2 has minimal polynomial x^2-7 so degree 2 over Q
this is wrong.so entire thing has degree 2.
a basis for the extension is: so the degree is 4.