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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Solution

the square roots of all positive integers are not irrational. For example $\sqrt{9} = 3$ , $\sqrt{25} = 5$ , hence square roots of all positive integers are not irrational.
For example,
$\sqrt{25} = 5$ is rational.
$\sqrt{36} = 6$ is rational.
Hence, the square roots of positive integers $25$ and $36$ are not irrational. ( $5$ and $6$ respectively)

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Q. Are the square roots of all positive integers irrational?

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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.

the square roots of all positive integers are not irrational. For example 9=3, 25=5, hence square roots of all positive integers are not irrational.For example,25=5 is rational.36=6 is rational.Hence, the square roots of positive integers 25 and 36 are not irrational. ( 5 and 6 respectively)