
Euler's number e is an irrational number.By the Pythagoras theorem, the hypotenuse AC will be √2. Consider a right-angled isosceles triangle, with the two equal sides AB and BC of length 1 unit. Since the value of ㄫ is closer to the fraction 22/7, we take the value of pi as 22/7 or 3.14 (Note: 22/7 is a rational number.) π=3⋅14159265… The decimal value never stops at any point. Given below are the few specific irrational numbers that are commonly used. It is a contradiction of rational numbers. These cannot be expressed in the form of ratio, such as p/q, where p and q are integers, q≠0.

Irrational Numbers Definition: Irrational numbers are real numbers that cannot be represented as a simple fraction.


Also, the decimal expansion of an irrational number is neither terminating nor repeating. The denominator q is not equal to zero (q ≠ 0). Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers.
