By definition (-1)*(-1)=1.
(-a)*(-b)
(-1)*(a)*(-1)*(b)
(-1)*(-1)*(a)*(b)
(a)*(b) ■
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Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.
100 A square of a negative number is positive.
-6
There is no known number that can be squared and produce a negative number since if the number is positive, the result will be positive, and if it's negative the result will still be positive. Accordingly the square roots of negative numbers are normally expressed as a factor of "i" where i is the square root of -1. In that case the square root of -25 is 5i.
This is not possible, because any number squared would be positive, not negative.