A number is an irrational if and only if its decimal representation is
eSaral Academic and Editorial Team
Question : A number is irrational if and only if its decimal representation is :
- Non-terminating
- Non-terminating and repeating
- Non-terminating and non-repeating
- Terminating
Solution :
The correct option is 3. non-terminating and non-repeating
According to the definition of an irrational number, If written in decimal notation,
an irrational number would have an infinite number of digits to the right
of the decimal point, without repetition.
Hence, a number having non terminating and non-repeating decimal
representation is an irrational number.
So, option 3. is correct.
Team eSaral
eSaral Academic and Editorial Team
Team eSaral is the collective author profile for educational content created by eSaral’s teachers and academic contributors. The team draws on expertise from IIT graduates, doctors, experienced educators and subject specialists to develop resources for JEE, NEET and school students. Our articles aim to explain concepts clearly and help students study with confidence.
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