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The answer is that some are an integer (whole number, not a fraction), but not all. I've checked numbers 1 to 20 on a calculator, and you can see for yourself below:

√1 = 1

√2 = 1.414213562

√3 = 1.732050808

√4 = 2

√5 = 2.236067977

√6 = 2.449489743

√7 = 2.645751311

√8 = 2.828427125

√9 = 3

√10 = 3.16227766

√11 = 3.31662479

√12 = 3.464101615

√13 = 3.605551275

√14 = 3.741657387

√15 = 3.872983346

√16 = 4

√17 = 4.123105626

√18 = 4.242640687

√19 = 4.358898944

√20 = 4.472135955

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Q: Is the square root of an integer an integer?
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