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No
No, the square root of 24 is NOT an integer. An integer is a whole number, and the square root of 24 is 4.89897948557.
Yes
No. 12 is rational because it can be written as a fraction, 12/1, or 24/2, 120/10, and so on. Also, it terminates at the decimal place, and does not continue on forever without pattern. However, the square root of 12 is irrational.
The square root of any positive real number (as in this case) is a real number. (Such square roots are usually irrational.)The square root of a negative real number, such as the square root of -15, is an imaginary, and therefore also a complex, number.