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Question


Which of the following is an irrational number?


Options:
A .   14.287628762876.....
B .   15.2323232323......
C .   5.2731687143725186.....
D .   1.33333333...
Answer: Option C
:
C

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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