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The root of a negative number is an imaginary number. It is denoted by i which is represented as -1.

Imaginary Numbers:-
An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1.

Example: Solve x2 = −1

Using Real Numbers there is no solution, but now we can solve it!

Take the square root of both sides:
x = ± √(−1)
x = ± i

Answer: x = −i or +i


(−i)2 = (−i)(−i) = +i2 = −1
(+i)2 = (+i)(+i) = +i2 = −1
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The root of negative no. is iota i and it general formula is a+bi where b is imaginary no.
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