Yes, but it is not the case that one is the square root and the other is its opposite. Both are equal square roots with the other one being its opposite.
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It depends on what you mean by an opposite. Every real number has an additive opposite but 0 does not have a multiplicative opposite.
The square of every positive or negative even whole number is a positive even whole number. The square of every positive or negative odd whole number is a positive odd whole number. There are an infinite number of each kind.
Yes.
Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.