Are Irrational Numbers Real Numbers?
Irrational numbers come under real numbers, i.e. all irrational numbers are real. However irrational numbers are different from rational numbers as they can’t be written in the form of fractions. Although, irrational numbers can be expressed in the form of non-terminating and non-recurring fractions. For example, √2, √3, and π are all irrational numbers and can’t be written as fractions.
The image below explains the relationship between Irrational numbers and Real Numbers.
Irrational Numbers: Definition, Examples, Symbol, Properties
Irrational numbers are real numbers that cannot be expressed as fractions. Irrational Numbers can not be expressed in the form of p/q, where p and q are integers and q ≠ 0. They are the opposite of rational numbers. They are non-recurring, non-terminating, and non-repeating decimals. Irrational numbers are real numbers but are different from rational numbers.
The symbol of irrational numbers is Q’. In this article, we will learn about irrational numbers, their properties, examples, identification, and others in detail.