Determine the conjugate of 3 minus 6 i3−6i.


The conjugate of a complex number is obtained by changing the sign of the imaginary part. 

Given the complex number \(3 - 6i\), its conjugate is:

\[
3 + 6i
\]

So, the conjugate of \(3 - 6i\) is \(3 + 6i\).

Would you like more details on this concept or have any questions?

Here are some related questions:
1. What is the conjugate of \(2 + 4i\)?
2. How do you find the magnitude of a complex number like \(3 - 6i\)?
3. What happens when you multiply a complex number by its conjugate?
4. How do you add and subtract complex numbers?
5. Can you explain how complex conjugates are used in dividing complex numbers?

**Tip:** Multiplying a complex number by its conjugate results in a real number, which is the sum of the squares of its real and imaginary parts.

Learn how to find the conjugate of a complex number 3 - 6i. Understand the concept of complex conjugates and their importance in mathematics. Suitable for high school students.

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