Yes, it is.
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Yes. The square root of 49 is 7.
Yes although it is an irrational number
There is no real number [square] root of a negative number. There is a real cube root and a real fiftth root etc, but root, by itself, implies square root.
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.
Nothing. You cannot have a square root of a negative number. The square root of negative one is called i, but i is an imaginary number. It does not exist and does not follow the properties of real numbers. (For example, if a and b are positive, then the square root of a times the square root of b is the square root of ab. But the square root of -7 is not the square root of 7 times i.)