Question

Write four rational numbers between `sqrt(2) and sqrt(3)`

Answer 1

Since squares of `sqrt(2) and sqrt(3)` are 2 and 3 respectively.
Now, find four rational numbers between 2 and 3 such that each of them is a perfect square.
Let the numbers be 2.25, 2.4025, 2.56, 2.89,
where,
`sqrt(2.25)` = 1.5
`sqrt(2.4025)` = 1.55
`sqrt(2.56)` = 1.6
`sqrt(2.89)` = 1.7
Hence, required rational numbers between `sqrt(2) and sqrt(3)` are 1.5, 1.55, 1.6 and 1.7.