Sal solves the problem x^3 = 1 for all of the real and complex roots using the exponential form of the complex number. He shows how the roots found in exponential form are the same as those in a more traditional form of a complex number...

Sal solves a complex determinant problem from the 2010 IIT entrance test. Knowledge of determinants, the exponential form of complex numbers, trigonometric ratios, and algebraic thinking are all utilized here.

Sal discusses the usefulness of the conjugate of the complex number is this video. First, he shows both graphically and algebraically adding a complex number and its conjugate. Then, he shows how to simplify a rational expression with...

This video gives an excellent overview of the different representations of a complex number. First, Sal reviews a pictorial representation of a complex number as an Argand diagram, then shows how to find the modulus and the argument of a...

In this multiplication worksheet, students multiply complex numbers.  This interactive one-page worksheet contains 10 problems.  Answers are provided.

In this subtraction instructional activity, students find the difference of complex numbers.  This one-page instructional activity contains 10 problems.  Answers are provided.

In this radical worksheet, students simplify complex numbers.  They find the sum and difference of complex numbers.  This two-page worksheet contains 11 multiple-choice problems.  Answers are given on the last page.

In this imaginary unit learning exercise, students solve quadratic equations. They write fractional expressions in standard form and identify the values of a complex number. Six of the ten problems on this one-page learning exercise...

In this quadratic formula worksheet, students solve quadratic equations. They use the discriminant to determine the solution or solutions to the problem. This one-page worksheet contains

In this complex numbers worksheet, students write numbers as a multiple of i. They add and subtract imaginary numbers. Students write complex quotients in standard form. This three-page worksheet contains six problems.