the square is positive always.
Except in the case of an Imaginary number. An imaginary number is a number that gives a negative result when squared,
where i= √-1
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Because for a number to be a square number it must have a number which when multiplied by it self=that number. For example: 36 is a square number because 6x6=36 16 is a square number because 4x4=16 A negative number such as -16 is not a Square Number because -4x-4=16 not -16 because a negative times a negative is a positive. -4x4=-16 but these numbers aren't the same therefore -16 isn't a square number. This is why negative numbers cant be Square Numbers
Imaginary number
The square root of a negative number cannot be expressed with integers. The square root of a negative number is always imaginary.
The square root of a negative number is known as an imaginary number. In this case, the square root of negative 37 would be represented as √(-37) = √37i, where "i" is the imaginary unit equal to the square root of -1. This means that the square root of negative 37 is the square root of 37 multiplied by the imaginary unit "i".
Every number has two square roots ... a positive one and a negative one. Example: +2 and -2 are both square roots of 4, because when you multiply either of them by itself, the answer is 4. The positive square root of a number is the square root that's not negative. The non-negative square root of a number is the positive one.