Find the absolute value of complex numbers

The  exercise appears under the Algebra II Math Mission. This exercise introduces the concept of the absolute value, or magnitude, for complex numbers.

Types of Problems
There is one type of problem in this exercise:


 * 1) Find the magnitude of the complex number: This problem asks for the absolute value of a complex number. The student is expected to find the absolute value as an exact radical and then simplify the answer.Avocn1.png

Strategies
Knowledge of the Pythagorean theorem and radical simplification are encouraged to ensure success on this exercise.
 * 1) The magnitude of a complex number is the same as the absolute value of a complex number.
 * 2) The magnitude of $$a+bi$$ is $$\sqrt{a^2+b^2}$$.
 * 3) To simplify a radical, perfect squares should be removed and pulled out from the radical.

Real-life Applications

 * 1) Complex numbers have applications as models in non-Euclidean geometries.
 * 2) Complex numbers are used to create fractal images.
 * 3) Complex numbers are a natural extension of the real numbers.