Explain with an example how irrational numbers differ from rational numbers?

The rational numbers can be expressed in the form of fraction i.e. numerator by denominator.

The irrational numbers doesn’t have a terminating decimal number, so they can never be expressed in the form of fraction i.e. numerator by denominator.

For example:

i)

The number 4.43 can be expressed in the form of fraction i.e. numerator by denominator. So it is a rational number.

ii) √5 = 2.236067977…

This number doesn’t have a terminating decimal number, so they can never be expressed in the form of fraction i.e. numerator by denominator.

So it is an irrational number.