## finite extension

Hi everyone
I 'm having difficulty in proving the following theorem
theorem: If L/K ( L is a field extension of K) is a finite extension then it is algebraic. Show, by an example, that the converse of this theorem is not true, in general.
Can you help me to find an example in this case?
 Mentor Blog Entries: 8 What algebraic extensions do you know of $\mathbb{Q}$??
 Quote by micromass What algebraic extensions do you know of $\mathbb{Q}$??
$\mathbb{Q(\sqrt{2})}$ is an algebraic extension of $\mathbb{Q}$