Question

Find the irrational numbers between 4and5

Answer 1

We need to find two irrational number between 4 and 5 that is sqt(16) and sqt(25). So the irrational number between the given number are sqt(17) and sqt (19). There is one more way to find -
As we know that irrational number have non-terminating and non -repeating decimal expansion then we can easily find it.
1. 4.5337519028...
2.4.88582640163...
Since the above two numbers have non terminating and non repeating. Therefore they are irrational numbes
You can also find irrational number in terms of π or e
4π/3 =4.1887.....

Answer 2

There are not just “the” two irrationals between 4 and 5: there are infinitely many such numbers! (Actually: even uncountably many of them!) some of them are
4.01, .02 , .03........
5.01,. .02, .03........