Add, subtract, and multiply complex numbers using i^2=-1 and algebraic properties.
Write the complex conjugate of a complex number in standard form
Problem
Form the conjugate of \(3+4i\) by keeping the real part \(3\) and reversing the sign of the imaginary term.
Big Picture
What this problem is really about
A complex conjugate preserves the real part and reverses only the imaginary term’s sign. We’ll identify the two components, apply that one-sign change, keep standard form, and use the real-valued conjugate product as a structural check.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
