A number is an irrational if and only if its decimal representation is:

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non-terminating

non-terminating and repeating

non-terminating and non-repeating

terminating

answer is C.

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Detailed Solution

Given an irrational number.
By knowing what are rational and irrational numbers and the definitions involved in them. From the definitions we can conclude that, what type of irrational that is there in the given question.
Rational number: A number is a number that can be expressed as fraction

p / q

of two integers, a numerator

p

and a non-zero denominator q . A real number that is not rational is called an irrational number. 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 We can say that a number is an irrational number if and only if its decimal representation is non-terminating and non-repeating.
A number is irrational if and only if its decimal representation is non-terminating and non-repeating.
Therefore, the correct option is 3.

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