### What Are Irrational Numbers?

Irrational numbers are the type of real numbers that cannot be represented in the fraction form. Or, these numbers are also defined as the type of the real numbers that cannot be written as the ratio of integers. For example, √4 is an irrational number.
Irrational numbers include all the real numbers that cannot be represented in the form of p/q, where q and p are the integers and q ≠ 0. For instance, √4 and √3 are irrational numbers. However, any number that is represented in the form of p/q such that q ≠ 0 while p and q are the integers; then, that number is known as the rational number. We use the symbol P to represent the irrational numbers.
The properties of the irrational numbers are as follows:
When we add the rational number with the irrational number, we get the irrational number.
Multiplication of the two irrational numbers and the irrational number gives us an irrational number as the product.
Any two irrational numbers may or may not have their least common multiple.
The sum or the product of the two irrational numbers may be rational. For example, the product of √4. √4= 4 has a rational number as the product.
Unlike the set of rational numbers, the irrational numbers are not closed under the multiplication process.