In mathematics, there is a distinction between real numbers and imaginary numbers. There is a number known as i which means, the square root of minus one. Since any number that we know of will produce a positive result when multiplied by itself, there would seem to be no such thing as the square root of minus one, however, the concept is useful for certain purposes, nonetheless, and it is therefore known as an imaginary number. Any multiple of i is also an imaginary number (such as 67i and so forth). So, some square roots are real numbers, and some are imaginary. Both types can be called square roots.
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There is no difference between real solutions and real roots.
There are no real square roots of -256. But using complex numbers the square roots of -256 are 16i and -16i.
-1
There are two roots, both real: -13 and +13
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.