Question

How many irrational numbers are there between 1 and 6?

Answer 1

Hint: We know that in general there are multiple numbers in between two numbers a and b say. So the numbers can be rational or irrational. Now we can apply the same for the above case. So we can say there are infinite numbers between 1 and 6.

Complete step by step solution:
We are given two numbers like 1 and 6.
We come across 2,3,4 and 5 when we go through this. But we are talking about the irrational numbers. Irrational numbers are of the form which cannot be written as a fraction. So we can find the simple saying that there are infinite numbers not only in between 1 and 6.
This is applicable for the numbers between 1 and 2 also.
Thus, there are infinite numbers between 1 and 6.
So, the correct answer is “infinite ”.

Note: Note that there are different varieties in numbers starting from natural numbers, whole numbers, fractions, integers, rational numbers and irrational numbers. But since in any two numbers of the type there are multiple numbers there exist. Also note that if asked to find any 5 numbers in between two fractions or two rational numbers we can find that but it is not like there are only 5 numbers in between.