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Which of the Following Statements Are True and Which Are False? in Each Case Give a Valid Reason for Saying So. T`Sqrt11` is a Rational Number.

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Question

Which of the following statements are true and which are false? In each case give a valid reason for saying so.

t`sqrt11` is a rational number.

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Solution

11 is a prime number and we know that the square root of any prime number is an irrational number. Therefore, `sqrt11`  is an irrational number.

Thus, the given statement t is false.

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