Numbers between rational numbers quick check show an example of a rational number that is shown square 10 and square 11
A rational number between the square roots of 10 and 11 is the square root of 10.5.
To find a rational number between $\sqrt{10}$ and $\sqrt{11}$, we can take the average of the two numbers.
The square root of 10 is approximately 3.16, and the square root of 11 is approximately 3.32.
Taking the average of these two numbers, we get:
$\frac{\sqrt{10}+\sqrt{11}}{2}\approx\frac{3.16+3.32}{2}\approx\frac{6.48}{2}\approx3.24$
So, an example of a rational number between $\sqrt{10}$ and $\sqrt{11}$ is 3.24.