# Math Help - degree of E over F

1. ## degree of E over F

prove: if (E:F)=P with p is a prime, then E=F(a) for each a is an element of E-F.

2. Originally Posted by apple2009
prove: if (E:F)=P with p is a prime, then E=F(a) for each a is an element of E-F.
[F(a):F] should divide [E:F]. Then it easily follows that E=F(a).