Free online math practice
Complex-number identities Practice
The imaginary unit, Euler’s identity, complex conjugates, and modulus.
Start practicingComplex-number identities
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What you’ll practice
Use i² = −1 to simplify powers of the imaginary unit. Conjugation changes the imaginary part's sign, while modulus describes a distance.
Where this helps
Working with complex arithmetic and distances in the complex plane.
Before you start
Use this topic to practice math you have already learned. The examples show the available kinds of recall tasks; this is not a complete textbook chapter. Check the answer form and any stated conditions.
Try a few examples
Real practice. Real progress.
Example 1 of 4
Enter your expression.
- a and b are real and i is the imaginary unit.
Grades and courses that include this topic
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Start practicingComplex-number identities
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- Progress stays on this device.