Practice Complex Numbers in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Numbers of the form a + bi where a, b are real and i = \sqrt{-1}; they extend the real numbers to solve x^2 = -1.
Extending numbers into a second dimension to solve equations like x^2 = -1.
Example 1
easySimplify i^2, i^3, and i^4.
Example 2
mediumMultiply (3 + 2i)(1 - i) and write the result in standard form a + bi.
Example 3
easyAdd (4 + 3i) + (2 - 5i).
Example 4
mediumSimplify i^{23}.