Classify the following numbers as rational or irrational:

**(i)** **(ii)**

**(iii) ** ** (iv) **

**(v) **

**(i) **

is irrational number and 2 is rational number. When we subtract irrational number from rational number, we get an irrational number.

Therefore, is irrational number**.**

** **

**(ii) **

3 is a rational number because it can be expressed in form as where .

**(iii) **

is a rational number because it is in the form where .

**(iv) **

is irrational number because is irrational number and 2 is rational number. When we divide irrational number by a rational number, we get irrational number.

**(v) **

It is irrational number because is irrational number and 2 is rational number. When we multiply rational number with an irrational number, we get an irrational number.

The only exceptional case is when we multiply random irrational number with zero, we get 0 as a result which is a rational number.