# Finite extension

by luciasiti
Tags: extension, finite
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 P: 4 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? Thanks for your help!
 Mentor P: 18,080 What algebraic extensions do you know of $\mathbb{Q}$??
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,353 Let L be the set of rational numbers and K the set of all algebraic numbers.
P: 4
Finite extension

 Quote by micromass What algebraic extensions do you know of $\mathbb{Q}$??
$\mathbb{Q(\sqrt{2})}$ is an algebraic extension of $\mathbb{Q}$

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