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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2 Answers

We know that square root of every positive integer will not yield an integer.

We know that √4 is 2, which is an integer. But √7 or √10 will give an irrational number. Therefore, we conclude that square root of every positive integer is not an irrational number.

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lets take positive integer be `4`
so `sqrt 4 = 2` it is rational
another example, `sqrt 9 = 3`
so, the statement is false

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