I'm having a little trouble with this one. Help would be appreciated!Quote:

Let $\displaystyle F$ be an extension field of $\displaystyle K$. If $\displaystyle u\in F$ is transcendental over $\displaystyle K$, then show that every element of $\displaystyle K(u)$ that is not in $\displaystyle K$ is also transcendental over $\displaystyle K$.