# Rationals Between

##### Stage: 4 Challenge Level:

To four places of decimals \[\sqrt{56} = 7.4833\;\mbox{ and }\;
\sqrt{58} = 7.6158\]

If $\sqrt{56} < \frac{p}{q} < \sqrt{58}$, then $ 56q^2 <
p^2< 58q^2$

Try different values of $q$, and remember $p$ is a whole
number.