Question

find two rational and irrational numbers between √2 and √3

Answer 1

√2=1.4142136


√2=1.4142136
√3=1.7320508
rational numbers are 1.5,1.6,1.71111..... etc 
a irrational number is always non terminating and non recurring so irrational numbers are 1.51511511151115..
1.636336333633336......
1.717117111711117......etc

hope this will help you

Answer 2

√2 a √3
let a be a rational between √2 & √3
squaring
2 a^2 3
a^2=2.25
a=√2.25
a=1.5