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

and 18−−√
.(1 point)

1 answer

To find a rational number with one decimal place that is between \(\sqrt{17}\) and \(\sqrt{18}\), we first need to approximate the values of \(\sqrt{17}\) and \(\sqrt{18}\).

  1. Calculate \(\sqrt{17}\): \[ \sqrt{17} \approx 4.123 (more precisely, it's around 4.1231) \]

  2. Calculate \(\sqrt{18}\): \[ \sqrt{18} \approx 4.243 (more precisely, it's around 4.2426) \]

Now we need to find a rational number with one decimal place that lies between these two approximations.

A decimal that fits this criterion is \(4.2\), as \(4.2\) is greater than \(4.123\) and less than \(4.243\).

Thus, a rational number with one decimal place between \(\sqrt{17}\) and \(\sqrt{18}\) is \(\boxed{4.2}\).