1.  Classify the following numbers as rational or irrational:

(v)    2\pi

Answers (1)

Given number is 2\pi
We know that the value of \pi = 3.14159265...
Now,
\Rightarrow 2\pi = 2\times 3.14159265... = 6.2831853...
Now,
Clearly, as the decimal expansion of this expression is non-terminating and non-recurring. Therefore, it is an irrational number.

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