Multiple choice

Which of the following decimal numbers is an irrational number?

  1. 0.1234569873215....

  2. 0.162162162.....

  3. 0.111111111....

  4. 0.545....

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A Correct answer
Explanation

If the decimal expansion of a number is non-terminating and non-repeating, then it is an irrational number. So, 0.1234569873215... is non-terminating and non-repeating, and hence, it is an irrational number.