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# How do you find the square root of a negative number?

It is not possible for a negative number to have a square root. Any square root is the number that, when you multiply it by ITSELF it will equal the number you are square rooting. Example: The square root of 4 is 2. 2 times itself(2x2) is 4. Negative numbers are imposable to square root because the square root cannot be multiplied by its opposite ( i.e. -2 times 2 or 4 times -4), it must be multiplied by itself. Any positive multiplied by a positive is a positive, and any negative multiplied by a negative is a positive. So any number times ITSELF will always be a positive. ( i.e. -4 time -4 is 16 as 4 times 4 is also sixteen.) If a squared square root is always positive then a negative number cannot have a square root. It's imposable.

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True for basic mathematics but not so for more advanced mathematics. There is a whole area of mathematics called complex mathematics which is based on the square root of negative numbers. The square root of -1 is defined as i.

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