Question: what is a rational number between root2 and root3?
Answer: If we consider the numbers 1.5 and 1.6 we find they both of them are rational numbers such that √2<1.5<1.6<√3. Hence the two rational numbers between √2 and √3 are 1.5 and 1.6 . Cleraly, a and b are rational numbers such that √2<a<b<3. Hence a and b are two irrational numbers between√2 and √3.