Which of the following statements are true and which are false? In each case,give a valid reason for your answer.
$t: \sqrt{11}$ is a rational number.
$t: \sqrt{11}$ is a rational number.
(B) $11$ is a prime number,and the square root of any prime number is an irrational number.
Therefore,$\sqrt{11}$ is an irrational number.
Thus,the given statement $t$ is false.
Therefore,$\sqrt{11}$ is an irrational number.
Thus,the given statement $t$ is false.
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