Irrational numbers also the part of number system like rational number system. Rational numbers are those numbers which is used to represent the numbers in the numerator and denominator form, where denominator must not be equal to 0. Here numerator and denominator forms means can be defined as a/b. In the given situation a is the numerator and b is the denominator of the rational number. Any numbers which can be represented in fractional form are called as rational number.
Those numbers which can’t be represented in fractional number means whose output is not a specified answer or who don’t have any limited number of result are known as irrational numbers.
Let’s show you which type of numbers are Rational Numbers and what is subsets of irrational numbers:
Suppose there are given numbers
(1)∏ (2) 2.5 (3) 3/2 (4)√2 (5)5/0
In the above question we have to find out which numbers are subset of rational numbers and which numbers are subset of irrational numbers.
(1) ∏ = 22/7 = 3.142857142857143
These are the output of ∏ value which gives continue output without any endpoint. So ∏ is a subset of irrational numbers. As like √2 it also having a long digit output, that’s why we can say that √2 is a subset of irrational numbers.
(2) 2.5 = 5/2, Here 2.5 can simply be represented as the form of denominator and numerator. So we can say that 2.5 is a subset of rational numbers. As like this question 3/2 is also a subset of rational numbers.
(3) 3/0, this number is not a part of rational number because here denominator is 0, which is the opposite of the rule of rational numbers. That's we can say that this is a irrational numbers.