Simplifying Complex Numbers: Conjugate of the Denominator


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question 1 of 3

The complex conjugate of 5 + 7i is _____.

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1. Multiplying 2 - 5i by 2 + 5i gives _____.

2. Simplifying 1/(4 + 8i) gives _____.

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About This Quiz & Worksheet

Solving problems with complex conjugates can be, as the term suggests, complex. Problems with fractions are no better. With some studying, though, you can improve your understanding of both and use the conjugate of a denominator. Use this assessment to find out how well you understand this principle.

Quiz & Worksheet Goals

With this quiz/worksheet assessment, you will answer questions about complex conjugates of expressions and you'll be asked to:

  • Identify them
  • Multiply them
  • Simplify fractional expressions with them

Skills Practiced

To complete this assessment, you will need to utilize the following skills:

  • Interpreting information - verify that you can read information regarding complex conjugates and interpret it correctly
  • Information recall - access the knowledge you've gained regarding how to multiply complex conjugates
  • Problem solving - use your acquired knowledge to simplify expressions with fractions and complex conjugates

Additional Learning

For a brief and effective review of the material covered in this assessment, study the lesson, Simplifying Complex Numbers: Conjugate of the Denominator. After completing this lesson, you should have a better understanding of:

  • What complex numbers are
  • Steps used to simplify expressions with them
  • What a complex conjugate is