Question

How many irrational numbers can be between any two rational numbers?

Answer 1

it can be infinite number.

Answer 2

for example

I will tell you how to find an irrational number between 4 and 5

Now before solving this you need to remember a key that square root of prime number is always irrational.

So square the given numbers 4 and 5

Then it will become 16 and 25.

Now find the prime numbers between these two numbers i.e..17,19,23

Now the solution is square root of 17 ,19, 23 are irrational between 4 and 5 .

Instead of writing the irrational numbers like 4.5979754986386456………

One can use this method.