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# Classify the following numbers as rational or irrational: (v) 2x

1.  Classify the following numbers as rational or irrational:

(v)    $2\pi$

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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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