Find the negation of the statement - 'There exists a rational number x such that its square is 2 '. Options: A . &nbsp There exists a rational number x such that its square is not 2 B . &nbsp There exists an irrational number x such that its square is 2 C . &nbsp There does not exist a rational number x such that its square is not 2 D . &nbsp There does not exist a rational number x such that its square is 2

Find the negation of the statement - 'There exists a rational number x su

Question -

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

Options:

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

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

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

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

Answer: Option D
:
D

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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