Show an example of a rational number that is between 10−−√ and 11−−√ .(1 point)

1 answer

To find a rational number between \(\sqrt{10}\) and \(\sqrt{11}\), we first calculate the approximate values of these square roots:

  • \(\sqrt{10} \approx 3.162\)
  • \(\sqrt{11} \approx 3.317\)

A simple rational number that lies between these two values is \( \frac{32}{10} = 3.2\).

Thus, \(3.2\) is a rational number that is between \(\sqrt{10}\) and \(\sqrt{11}\).