Let 
z
=
4
+
1
i

Calculate 
¯
z
 (i.e., the complex conjugate of 
z
)

Given the complex number \( z = 4 + 1i \), its complex conjugate \( \overline{z} \) is obtained by changing the sign of the imaginary part.

So, the complex conjugate \( \overline{z} \) is:

\[
\overline{z} = 4 - 1i
\]

Would you like any further details or explanations on complex conjugates?

Here are 5 related questions you might find useful:
1. What is the modulus of the complex number \( z = 4 + 1i \)?
2. How do you find the argument of a complex number?
3. What happens if you multiply a complex number by its conjugate?
4. Can you add and subtract complex numbers? How does it work?
5. How are complex numbers used in real-world applications?

**Tip:** The product of a complex number and its conjugate always results in a real number.

Let z = 4 + 1i. Calculate z̅ (i.e., the complex conjugate of z).

Learn how to calculate the complex conjugate of z = 4 + 1i. This problem explores key concepts in complex numbers, including the formula for finding the conjugate. Ideal for students in Grades 9-12.

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Let z

Solution

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