There are uncountable real numbers between the square root of 13 and the square root of 14.
[tex] \sqrt{13} \approx3.605551275[/tex]
and
[tex] \sqrt{14} \approx3.741657387[/tex]
Some of the real numbers between 3.605551275 and 3.741657387 are 3.61, 3.62, 3.63, 3.64, 3.65, 3.66, 3.67, 3.68, 3.69, . . . . (like i said before, they are uncountable).