The square root of a negative number is called an imaginary number.
For instance, ##5i^2## would be -25. To find the square root of -500, we have to pretend that it is a positive 500, and simply add an ##i## to the end of our answer. The square root of 500 would be 22.360679775, so the square root of -500 is ##22.360679775i##.
The square root of a negative number is called an imaginary number.
For instance, ##5i^2## would be -25. To find the square root of -500, we have to pretend that it is a positive 500, and simply add an ##i## to the end of our answer. The square root of 500 would be 22.360679775, so the square root of -500 is ##22.360679775i##.
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