Find two rational numbers between `0. 232332333233332 . . . ` and `0. 252552555255552..... `

Explanation

Let
`a=0.232332333233332`
`b=0.252552555255552`
Since the decimal representations of a and b are non-terminating and non-repeating, it follows that `a \and \b` are irrational numbers. Again the first place of decimal of `a \and\ b` are equal, and second place of `b` is greater than `a`.
`a< b`
We have to find number between a and b such that it is greater than `a` and less than `b`, and irrational. Now considering the following numbers
`0.232442333233332......`
`0.232442333233332.....`
​​We can find many numbers like this.
Rational numbers can be expressed of form p/q . So we can find numbers between a and b like `0.24 =(24/100) \and \0.242 =(242/1000)`
These numbers lie between a and b and can be represented by the form `p/q` hence are rational.