Question

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$1.101001000100001... \\ is \: irrational \: or \: rational \: number$
please tell me
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Answer 1

Answer:

The given number is an irrational number because we can see that it's decimal expansion is neither repeating ( or recurring ) nor terminating.

Always remember that rational numbers can either have terminating decimal expansion or repeating decimal expansion. Rational numbers can't be non terminating non repeating at the same time.

Some more examples of irrational numbers include :-

• π

• √2

• √3

• 12.12122122212222 . . .