College Algebra Answer/Discussion to Practice Problems Tutorial 12: Complex Numbers

AND

Step 2: Simplify the expression.

*i squared = -1

*Combine imaginary numbers *i squared = -1

So what would the conjugate of our denominator be?

It looks like the conjugate is .

Step 3: Simplify the expression.

*

*Divide each term of num. by 10

*Complex num. in stand. form

Step 3: Write the final answer in standard form.

*The square root of 4 is 2 and the square root of 36 is 6 *Add like radicals: 15i + 6i = 21i *Complex num. in stand. form (note real num. part is 0)

*Rewrite 20 as (4)(5)

*The square root of 4 is 2

*Divide each term of num. by 2

*Complex num. in stand. form (note that the imaginary part is 0)

Last revised on Dec. 15, 2009 by Kim Seward. All contents copyright (C) 2002 - 2010, WTAMU and Kim Seward. All rights reserved.