square roots of a negative number are imaginary, where i = square root (-1)
sqrt (-2500) = sqrt (2500) i = 50 i
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You are supposed to take the square root, and then put a minus sign in front of it.
The square root of 2,500 is 50.
The square root of negative 40 is: 6.324555 i
Yes, as is the positive square root.
Just by looking at 2500, we can break it into two factors: 2500 = 25 x 100. Next, we take the square root of each term: sqrt(2500) = sqrt(25) x sqrt(100). Then, we simplify: sqrt(2500) = 5 x 10 = 50.
it is impossible to get the square root of a negative, since the definition of a square root is something times itself. example: the square root of 16 is 4 because 4 x 4 = 16. and a negative times a negative is a positive, so the square root of a negative is impossible. however, you can do the square root of 121 (which is 11) and make the 11 a negative. 11 x 11 = 121 and -11 x -11 = 121 but you could make 11 negative after the fact, if that is what you wanted to do.