Problem preview
N-CN.2 Warmup M2-056-A06-V02

Add, subtract, and multiply complex numbers using i^2=-1 and algebraic properties.

Multiply a complex number by its conjugate

Problem

Recognize \((5-2i)(5+2i)\) as a conjugate product. Use the sum-of-squares result and calculate its real value.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
N-CN.2
Category
Number and Quantity
Domain
The Complex Number System
Objective
Add, subtract, and multiply complex numbers using i^2=-1 and algebraic properties.
Problem type
Multiply a complex number by its conjugate