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Question

Which of the following is an irrational number?


A

14.287628762876.....

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B

15.2323232323......

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C

5.2731687143725186.....

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D

1.33333333...

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Solution

The correct option is C

5.2731687143725186.....


Irrational numbers are defined as those numbers which have a non-terminating and non-repeating decimal expansion and hence cannot be represented in the pq form. So, here we see that out of the given options the number 5.2731687143725186..... has a non-terminating and non-repeating decimal expansion as clearly one can interpret that there are no patterns formed in the decimal expansion and the number goes on expanding arbitrarily.


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