Classify the following numbers as rational or irrational:
(i) 
(ii) 
(iii) 
(iv) 
(v) 
(i) 2 - 
= 2 – 2.2360679…
= -0.2360679…
Since, the number is in non-terminating non-recurring therefore, it is an irrational number
(ii) (3 + 
) - 
= 3 + 
- 
= 3
= 3/1
The number is rational number as it can be represented in the form of p/q.
(iii) 
= 2/7
The number is rational number as it can be represented in the form of p/q.
(iv) 
= 
= 0.7071067811
Since, the number is non-terminating and non-recurring number.
Hence, it is an irrational number
(v) 2π = 2 * 3.1415…
= 6.2830
Since, the number is a non-terminating and non-recurring number.
Hence, it is an irrational number
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