The Square Root of Minus One

The formula of the square root of -1 led us to create complex numbers, which led to complex analysis, one of the most powerful areas of math.
The Square Root of Minus One | Equations That Changed the World

Even though it ought to be impossible, the square of the number i is minus one. That formula led us to create complex numbers, which led to complex analysis, one of the most powerful areas of mathematics. With the help of complex numbers, mathematicians improved methods to calculate trigonometric tables, found more powerful methods to understand waves, heat, electricity, and magnetism, and the mathematical basis of quantum mechanics.

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