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Question

Find the negation of the statement - 'There exists a rational number x such that its square is 2 '.


A

There exists a rational number x such that its square is not 2

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B

There exists an irrational number x such that its square is 2

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C

There does not exist a rational number x such that its square is not 2

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D

There does not exist a rational number x such that its square is 2

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Solution

The correct option is D

There does not exist a rational number x such that its square is 2


The negation of 'there exists a rational number x such that its square is 2' is 'there does not exist a rational number x such that its square is 2'.


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