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Irrational Numbers Irrational numbers are the numbers which are not rational numbers. In other words we can say that any number that cannot be expressed in the form of p/q are termed as irrational numbers. If any floating point number (that is a number that has an integer part as well as an decimal part is termed as floating point number.) cannot expressed as the ratio of two integers that floating point number is termed as irrational numbers. Let us take some of the examples of Irrational numbers Now if we take the value of “ pi (π ) “ that is π = 3.1415926535897932384626433832795 This value of π is impossible to express as the simple ratio of two numbers or two integers instead. Thus the value of π is an irrational number. Know More About Calculus


Let us take some more examples to clearly get an image about the irrational numbers Let us take a value 3.2. Now 3.2 is not an irrational number, it expressed as a ratio of two integers that can be expressed as an simple ratio of number not an irrational number . √2 = number.

is a rational number as 3.2 can be is 3.2 = 32 /10 Or 3.2 = 16 / 5 As 3.2 16 and 5 therefore 3.2 is an rational 1.4142135623730950 is an irrational

Thus finally we can conclude that an irrational number is a number that cannot be expressed as a ratio or in the form of (p/q) where p and q are rational numbers.

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Irrational Numbers