Chapter 15 - Algebra Coach Exercises


Algebra Coach Exercise on complex numbers.
For each question perform the indicated operations. To do this drag-and-drop each question into the Algebra Coach and click the Simplify button repeatedly.

(Required Options settings: the complex numbers option must be turned on, with i as the imaginary unit; and the exact or floating point option must be set to keep exact.)
  1. -5 i (5 i - 6)
  2. 2 (5 i + 6)
  3. (3 i + 4) (5 i - 6)
  4. (3 i + 4) / (5 i + 6)
  5. (3 i + 4) / (-2 i)
  6. (3 i - 4) (3 i + 4)
  7. 5 / (3 i + 4)

Algebra Coach Exercise on complex numbers in exponential form.
For each question perform the indicated operations. To do this drag-and-drop each question into the Algebra Coach and click the Simplify button repeatedly.

(Required Options settings: complex numbers turned on, with i as the imaginary unit; e set to represent the number 2.718… ; p set to represent the number π ; angular measure set to radians)
  1. 6 e^(1.2 i)
  2. (6 e^(1.2 i)) * (2.2 e^(-0.4 i))
  3. (6 e^(1.2 i)) / (2.2 e^(-0.9 i))
  4. e^(i p)
  5. (e^(i p)) ^ 3
  6. (sqrt (2) e^(i p / 2)) ^ 4