How did imaginary numbers come into existence? What was the first problem that required use of imaginary number?

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How did imaginary numbers come into existence? What was the first problem that required use of imaginary number?

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The same problems that they are used for now: square roots of negative numbers.

There are many problems in physics where you do have to ha square root of a negative number as part of the process of finding out the answer even if that itself will never ultimately be the answer.

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