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Question

A given number is irrational in nature if and only if the decimal representation is ___.

A
non terminating, non repeating
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B
terminating
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C
non terminating, repeating
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D
non terminating
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Solution

The correct option is A non terminating, non repeating
Any number is considered a rational if its decimal form is either terminating or if it is non-terminating but repeating.

Hence, for a number to be irrational it has to be non-terminating and non-repeating.

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