Recall that a real number $x$ is \emph{rational} if we can write $x = \frac{p}{q}$ for some $p,q \in \Z$ with $q eq 0$. We say that $x$ is \emph{irrational} if it is impossible to write $x$ in this way. Either prove the following statement or provide a counterexample to show that it is false: Let $x \in \R$ with $x \geq 0$. If $x$ is irrational, then $\sqrt{x}$ is irrational