Question

Find two irrational numbers between 2 and 2.5.

Answer 1

If a and b are two distinct positive rational numbers such that ab is not a perfect square of a rational number, then  is an irrational number lying between a and b.

∴ Irrational number between 2 and 2.5 is = `sqrt(2xx2.5)=sqrt5`

Similary, irrational number between 2 and `sqrt5 `

So required numbers are `sqrt5`