Question

Find a rational number between `sqrt(2)` and `sqrt(3)`.

Answer 1

As we know, `sqrt(2)` and `sqrt(3)` are irrational numbers.

`sqrt(2) = 1.414` (approx.)

`sqrt(3) = 1.732` (approx.)

A rational number between `sqrt(2)` and `sqrt(3)` will be

1.414 < 1.5 < 1.732

⇒ `sqrt(2) < 3/2 < sqrt(3)`

Therefore, `1.5 = 3/2` is a rational between `sqrt(2)` and `sqrt(3)`.