Rational numbers are those decimals which either terminate or end in a repeating sequence of 1 or more digits.
Assuming the number continues with an extra 0 before the next 8 each time then the number neither terminates nor ends in a sequence of repeating digits, thus it is not a rational number.
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No, it is rational.
It is rational. It is rational. It is rational. It is rational.
"Rational" is an adjective and so there cannot be "a rational" (and certainly not "an rational"). Any answer would depend on whether the question was about a rational number, a rational person, a rational argument or "a rational" combined with some other noun.
It is rational.
It is rational.