The decimal expansion of an irrational number is non-terminating and

Question:

The decimal expansion of an irrational number is non-terminating and ________.

Solution:

The decimal expansion of a rational number either terminates after finitely many digits or ends with a repeating sequence.

In case of irrational number, the decimal expansion neither terminates nor repeats after finitely many digits.

Hence, the decimal expansion of an irrational number is non-terminating and non-repeating.

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