Question

find two rational number between √5 and √7​

Answer 1

Given that

The given rational numbers are \sqrt 55 and \sqrt 77 .

\sqrt 55 =2.23

\sqrt 77 =2.64

So the rational numbers between \sqrt 55 and \sqrt 77 is infinite and there can be infinitely so many numbers are between the given roots.

Hence, the rational numbers between \sqrt 55 and \sqrt 77 are  infinite which will be like the following series

2.231, 2.232, 2.233, 2.234, 2.235, .... .... 2.45,…...etc.