Complex Conjugate: Numbers, Functions & Examples


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question 1 of 3

What is the conjugate of 8 + 11i?

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Find the product and simplify your answer.

(4 + 9i)(4 - 9i)

2. Which expression is simplified?

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About This Quiz & Worksheet

Test your ability to solve complex conjugate problems and find the product of these mathematical expressions in this quiz and worksheet combo. Practice problems assess your knowledge of this mathematical principle as well as your understanding of the terms complex number and product.

Quiz & Worksheet Goals

In these assessments you'll be tested over your ability to:

  • Recall the definition of a complex number
  • Find the conjugate of a complex number
  • Determine the product of complex conjugates in equations
  • Divide complex numbers

Skills Practiced

  • Information recall - access the knowledge you've gained regarding complex conjugates
  • Knowledge application - use your knowledge to answer questions about quadratic functions
  • Critical thinking - apply relevant concepts to examine information about simplified expressions in a different light

Additional Learning

There is also an accompanying lesson titled Complex Conjugate: Numbers, Functions & Examples. The lesson will help you explore more information about the subject. Specifically, it has these objectives:

  • Define and understand complex numbers
  • Explore conjugates
  • Define complex conjugate
  • Divide and multiply complex numbers
  • Learn about real numbers
  • Simplify complex numbers
  • Find solutions for quadratic equations