Understanding Conjugates
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Beginner
Start here! Easy to understand
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Beginner Explanation
A conjugate is a term that is formed by changing the sign of the second term in a two-term expression.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
What is the conjugate of $3 + 5i$?
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2
Real-World Problem
Question Exercise
Intermediate
Engineering Scenario
Engineers use conjugates to simplify complex numbers in electrical circuits. Given the complex number z = 5 - 2i, what is its conjugate, and what is the result of multiplying z by its conjugate?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Calculate the conjugate of $7 - 4\sqrt{3}$. Then multiply the original number by its conjugate.
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4
Challenge Quiz
Single Choice Quiz
Advanced
What is the result of multiplying $2 - i$ by its conjugate?
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Recap
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