## 1.4. Natural Numbers, Integers, and Rational Numbers

### Example 1.4.6: n-th Root is not Rational

Proofs that show that something is *not* the case call out for proofs
by contradiction. Thus, you might want to start out a possible proof as follows:

Assumep^{1/n}isrational, i.e.p^{1/n}=^{a}/_{b}

If this would result in a contradiction (perhaps to the fact that *p*
is assumed to be a prime number), we would have a classical proof by contradiction.

Soooo ... any thoughts?