The square of a real number is always a real number.
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Of course, not only can it be a real number but it is a real number. When you take the square root times itself, the result is a number that is real.
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.
Yes, square of 2 is a real number. Real numbers fall into 2 categories, Rational and Irrational. Square of 2 is an irrational number.
no. is not a real number
The square roots of any positive real number are a positive and a negative real number. The square roots of any negative real number are a positive and a negative imaginary number. The square roots of any imaginary number or any complex number are two complex numbers.