Find two irrational numbers lying between `sqrt(2)\ a n d\ sqrt(3)`

Explanation

We have
`sqrt(2) = 1.41421356….and sqrt(3) = 1.732050807`
Which are irrational numbers by themselves. If we consider the numbers 1.5 and 1.6, we find that both of them are rational numbers such that `sqrt(2) lt 1.5 lt 1.6 lt sqrt(3)`
Hence, two rational numbers between `sqrt(2)` and `sqrt(3)` are 1.5 and 1.6.
But we know that in decimal point of view irrational numbers are those numbers which are non terminating or non recurring.
Now, consider the numbers
a=1.4142434445... and b= 1.5050050005...
Cleraly , a and b are irrational numbers such that
`sqrt(3) lt a lt b lt sqrt(3)`
Hence, a and b are two irrational numbers between `sqrt(2)` and `sqrt(3)`.