Question

Which of the following is an irrational number?

• A. 14.287628762876.....
• B. 15.2323232323......
• C. 5.2731687143725186.....
• D. 1.33333333...

Answer 1

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 $\frac{p}{q}$ 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.