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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