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The square of any real number is non-negative. For example (-3)2 = +9

So, no real number can have a negative square root. Occasionally, though, mathematicians come across the need to find the square root of a negative number (for example in solving some quadratic equations). So they invented a family of numbers called imaginary numbers and the i (lower case) stands for the imaginary square root of -1.

Apart from having a negative square, they are just like "ordinary" real numbers.

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Q: What does I mean in square root -1?
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