The decimal expansion of an irrational number is __________.

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non-terminating and repeating

terminating

non-terminating and non-repeating

None of these

answer is C.

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Detailed Solution

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

The decimal expansion of an irrational number, neither terminates nor repeats after finitely many digits.

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

Example: $\sqrt{3} = 1.7320508 . . .$

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