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An imaginary number is the product of a real number and the imaginary unit i, [note 1] which is defined by its property i2 = −1. [1][2] The square of an imaginary number bi is −b2. For …

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The definition of i i is quite ambiguous. i i is "a" solution to the quadratic equation x^2 = -1 . x2 = −1. No square of real number can be negative, so this equation does not have a real solution. …

Imaginary numbers are based on the mathematical number i i. i is defined to be −1−−−√ i is defined to be − 1. From this 1 fact, we can derive a general formula for powers of i i by looking …

Rewrite i2 i 2 as −1 - 1. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

Feb 8, 2025 · i = √-1 and i × i = i2 = -1. Since the value of √-1 can't be calculated, it is represented by the term 'i'. Value of iota 'i' in Complex Numbers. In complex numbers, i is used to …

Oct 20, 2014 · I see many people saying that the imaginary number squared is -1, like so: i = sqrt(-1) i2 = sqrt(-1)*sqrt(-1) = (sqrt(-1))2 = -1 But, what about this...

In this KhanAcademy link at 2:25, Sal (the narrator) says that i2 i 2 is negative 1 and he didn't explain why. Why is this so? What is the intuition behind it? i = −1−−−√. i = − 1. Alternatively, …

In the question we should find i 2. Therefore, the square root of -1 is -1. Hence, you can find the answer. Here is the step wise solution. The first part is to know what i is. i is an imaginary …