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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. - Mathematics

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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.

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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Chapter 14: Mathematical Reasoning - Exercise 14.5 [Page 343]

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NCERT Mathematics [English] Class 11
Chapter 14 Mathematical Reasoning
Exercise 14.5 | Q 5.5 | Page 343

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