Introduction To Imaginary And Complex Numbers Worksheet With Answers printable pdf download

Introduction To Imaginary And Complex Numbers Worksheet With Answers

Introduction to Imaginary and Complex numbers

When a Real number is squared the result is always non-negative. Imaginary numbers of

the form bi are numbers that when squared result in a negative number.

A complex number is a number with a Real part, a, and an imaginary part, bi written in

the form

I. Model Problems

In this example we will simplifying imaginary numbers.

Example 1:

Write the number under the radicand as a product of −1

and a non-negative number.

Write as product of radicals.

Find the roots.

Answer:

In these examples we will practice simplify powers of .

Example 2:

’s and i’s.

Rewrite as product of

Substitute.

Simplify.

Answer:

Example 3:

’s and i’s.

Rewrite as product of

Substitute.

Simplify.

Answer:

In this example we will simplify a complex number.

Example 4:

Write the number under the radicand of the

imaginary part of the complex number as a

product of −1 and a non-negative number.

Write as product of radicals.

Find the roots of both parts of complex number.

Answer:

II. Practice Problems

Introduction To Imaginary And Complex Numbers Worksheet With Answers