A number is an irrational if and only if its decimal representation is:
non terminating
non terminating and repeating
non terminating and non repeating
terminating
A
non terminating
B
non terminating and repeating
C
non terminating and non repeating
D
terminating
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Solution
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According to definition of 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 recurring digits.
Hence, a number having non terminating and non repeating decimal representation is an irrational number.
So, option C is correct.
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