That greatly depends on what level of math you are taking. Early math classes might want you to say, "You can't take the square root of a negative number." Later math will talk about real numbers and still the answer would be, "The square root of -4 does not have a real answer." Still later in your math career you will see imaginary numbers whereby the special character "i" is equivalent the the square root of -1. If imaginary answers are allowed, then the square root of -4 = 2i (since -4 is the same as -1 x 4, the square root of -1 x 4 = i x 2 =2i)
Chat with our AI personalities
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.
Positive 4 and Negative 4
The square root of negative 40 is: 6.324555 i
√4 × 16 = ±2 × 16 = ±32 (though the √ symbol normally means the positive square root). √(4 × 16) = √64 = ±8
Yes, as is the positive square root.