Question

How many irrational numbers lie between $2$ and $3$? Find any three irrational numbers lying between $2$ and $3$.

Answer 1

There are an infinite number of irrational numbers lying between any two rational numbers.

There exist an Infinite number of irrational numbers lie between $2$ and $3$.

Lets form the irrational numbers between $2$ and $3$.

These numbers should be more than $2$ and less than $3$.

An irrational number is neither terminating and non-recurring decimal.

$\Rightarrow \mathrm{2.01001000100001.......}$

$\mathrm{2.02002000200002.......}$

$\mathrm{2.03003000300003......}$

In the same way we can form an infinite number of irrational numbers lying between any two rational numbers