Find a rational number with one decimal place that is between 17−−√ and 18−−√.

Answer 1

To find a rational number between $\sqrt{17}$ and $\sqrt{18}$, we can average the two numbers. $\sqrt{17}$ is between $\sqrt{16} = 4$ and $\sqrt{25}=5$, so $\sqrt{17}$ is between 4 and 5. $\sqrt{18}$ is between $\sqrt{16} = 4$ and $\sqrt{25}=5$, so $\sqrt{18}$ is between 4 and 5 as well. Therefore, a rational number between $\sqrt{17}$ and $\sqrt{18}$ is $\dfrac{\sqrt{17}+\sqrt{18}}{2}$. When we round this number to one decimal place, we have $\frac{3.9+4.2}{2} = \frac{8.1}{2} = \boxed{4.1}$.

Answer 2

what does \boxed{4.1}$. mean