Question

How many rational numbers Are there
between root 3 and root 5

Answer 1

What are rational no.s?
=> Rational numbers are those numbers which can be expressed in the form of p/q where
q ≠ 0 and p and q are co - prime no.s. For example :- 1,2,1.5,9/11,etc.

What are irrational no.s ?
=> The numbers which have non - terminating and non - recurring decimal expansion is called a irrational no. For example :- √2,√3,√5,π, etc.

√3 = 1.73 ( approx )

√5 = 2.23 ( approx )

There lies infinite rational no.s between √3 and √5. ( Answer )


Hence, we can say that there exists infinite number of rational no.s between two irrational no.s