To find a rational number between $\sqrt{17}$ and $\sqrt{18}$, we can take the average of these two numbers.
The average of $\sqrt{17}$ and $\sqrt{18}$ is $\sqrt{\frac{17+18}{2}} = \sqrt{\frac{35}{2}} = \frac{\sqrt{35}}{\sqrt{2}} = \frac{\sqrt{35}}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{70}}{2}$.
A rational number with one decimal place that is between $\sqrt{17}$ and $\sqrt{18}$ is $\boxed{3.5}$.
Find a rational number with one decimal place that is between 17−−√ and 18−−√ .(1 point)
$$
1 answer