Between which pair of rational numbers on a number line does 18√ lie?

Answer 1

To determine between which pair of rational numbers the expression $\sqrt{18}$ lies, we convert it to decimal form: $\sqrt{18} \approx 4.2426$. The largest rational number less than $\sqrt{18}$ is $\boxed{4 \frac{1}{5}}$, or $4.2$. The smallest rational number greater than $\sqrt{18}$ is $\boxed{4 \frac{3}{10}}$, or $4.3$.