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Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.
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Question

Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

Answer

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Solution

Square root of positive integers is not always irrational. For example:  \(4\) and \(9\) are  integers whose square roots are rational numbers.
As,\(\sqrt{4}=2\) and\( \sqrt{9}=3\)
Here, \(2\) and \(3\) are rational numbers.
Therefore, the square root of every positive integer is not always an irrational number.
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