The numbers which have a non-terminating and non-repeating decimal expansion or cannot be represented in the form of pq (q is not equal to '0') are known as
An irrational number is a real number that cannot be expressed as a ratio of integers, i.e. as a fraction, where the denominator is different from zero. Therefore, irrational numbers, when written as decimal numbers, do not terminate, nor do they repeat. √2, √3 are examples of irrational numbers.