Learn about the imaginary unit i, about the imaginary numbers, and about square roots of negative numbers.

We'll learn what imaginary and complex numbers are, how to perform arithmetic operations with them, represent them graphically on the complex plane, and apply these concepts to solve …

This topic covers: - Adding, subtracting, multiplying, & dividing complex numbers - Complex plane - Absolute value & angle of complex numbers - Polar coordinates of complex numbers

Sal always seems quite concerned about simplifying his denominators (more than his numerators), but I do not really see the exact need of getting rid of the imaginary number in …

We multiplied both sides by the conjugate of the denominator, which is a number with the same real part and the opposite imaginary part. What's neat about conjugate numbers is that their …

Learn how to simplify any power of the imaginary unit i. For example, simplify i²⁷ as -i.

We look, we say, okay, what two numbers when I add them I get 10, and when I multiply them I get nine, and it would be nine and one? And so you could write this as u plus 9 times u plus 1.

The only two roots of this quadratic equation right here are going to turn out to be complex, because when we evaluate this, we're going to get an imaginary number.

Discover the magic of the imaginary unit 'i'! This lesson dives into simplifying the square root of negative numbers using 'i', the principal square root of -1. We'll explore how to rewrite …

Through a guided example with 7 - 5i, this video explains how to find the conjugate of a complex number, which is simply changing the sign of the imaginary part.