Answer: The given number is NOT rational.
Step-by-step explanation: We are given to check whether the number 0.12112111211112 . . . a rational number or not.
We know that
if the digits after the decimal in a number are either repeating or terminating, then the number is rational.
The given number is
[tex]x=0.12112111211112 . . .[/tex]
We can see that the digits after the decimal are neither repeating nor terminating.
Therefore, the given number is NOT rational.
