Question : A number is irrational if and only if its decimal representation is :
- Non-terminating and repeating
- Non-terminating and non-repeating
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.