Question
The conjugate of $\frac{2-i}{2+i}$ is(a) $\frac{3+4 \mathrm{i}}{6}$(b) $\frac{3+4 \mathrm{i}}{5}$(c) $\frac{2+3 \mathrm{i}}{5}$(d) $\frac{3-4 \mathrm{i}}{5}$
Step 1
To simplify this, we multiply both the numerator and the denominator by the conjugate of the denominator, which is $2-i$. So, we get $\frac{(2-i)(2-i)}{(2+i)(2-i)}$. Show more…
Show all steps
Your feedback will help us improve your experience
Anas Venkitta and 75 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
\begin{equation} \text {(a) The complex conjugate of} \quad3+4 i \text { is } \overline{3+4 i}=\end{equation} \begin{equation}\text { (b) }(3+4 i)(\overline{3+4 i})=\end{equation}
Equations and Graphs
Complex Numbers
(a) The complex conjugate of $3+4 i$ is $\overline{3+4 i}=$ _____ (b) $(3+4 i)(\overline{3+4 i})=$ _____
Fundamentals
Find the complex conjugate of each of the following: (a) $6+4 i, 7-5 i, 4+i,-3-i$ (b) $6,-3,4 i,-9 i$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD