Are there square roots of negative numbers?

Formatting tips. Is there a difference between a square root and a principal square root? Or are they the same thing? ... A normal square root of a positive number has two solutions (A positive and a negative). A normal root also allows for roots of negative numbers, which are imaginary. read more

There are no real square roots of a negative number because you can't multiply any real number by itself and get a negative number. If we imagine that a negative number has got a square root we can do some interesting maths. i is the character we most often use refer to the square root of -1, so i x i =-1. read more

The square root of a negative number does not exist among the set of Real Numbers. When problems with negatives under a square root first appeared, mathematicians thought that a solution did not exist. read more