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Question

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

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Solution

No. Square roots of all positive integers are not irrational. Example 4, 9, 16, etc. are positive integers and their square roots are 2, 9 and 4 which are rational numbers.All perfect square number has rational roots
Examples √1 , √4 ,√9 ,√25 ………….There are infinitely many positive integers whose square root is a rational number.

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