The square root of negative numbers, such as -1, cannot be expressed as a real number, so mathematicians invented the imaginary unit 'i' to solve this problem, where i is defined as the square root of -1.
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Square Root of Negative Numbers Explained: The 'i'! #shortsAdded:
But, what do you >> [laughter] >> I >> You what?
>> The square root of >> It has no answer.
>> I'm like, wait a minute, because if you go -3 * 3, no.
>> Cuz somebody said, this has got to have an answer.
>> Yeah.
>> That's the same dilemma back when you couldn't count or you didn't have fractions or you couldn't go negative.
>> No.
>> We had to invent what the answer to that question would be.
>> Square root of -9.
>> The square root of 1 is >> 1.
>> 1. Square root of -1, same problem. By definition, >> Okay.
>> square root of -1 is I.
But, what do you >> [laughter] >> I >> You what?
>> [laughter] >> It's the imaginary number.
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