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A number which can be written in the form a b where

Rational numbers are of two types depending on whether their decimal form is terminating or recurring.

A number which cannot be written in the form a b , where *a* and *b* are integers and b â‰ 0 is called a irrational number. Irrational numbers which have non-terminating and non-repeating decimal representation.

The sum or difference of a two irrational numbers is also rational or an irrational number.

The sum or difference of a rational and an irrational number is also an irrational number.

Product of a rational and an irrational number is also an irrational number.

Product of a two irrational numbers is also rational or an irrational number.

Let p be a prime number. If p divides a

If p q is a rational number, such that the prime factorisation of q is of the form 2

If a rational number is a terminating decimal, it can be written in the form p q , where p and q are co prime and the prime factorisation of q is of the form 2

If p q is a rational number such that the prime factorisation of q is not of the form 2