Complex Conjugates Intro to Dividing

You will need to know this to help you on the next few slides. Add this in your notebook to your multiplying or dividing complex notes (whichever you have space)

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​What are complex conjugates?

**Write this in your notebook also**

Multiple Choice

What is the complex conjugate of $$3-2i$$ ?

• $$3+2i$$

• $$i$$

• $$-i$$

• $$3-2i$$

Drag and Drop

What happened to the middle term in the video when you multiplied the denominator (bottom) by the conjugate? The middle term ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

canceled

doubled

stayed the same

Multiple Choice

What is the complex conjugate of $$\frac{5+4i}{3+2i}$$ ?

• $$3+2i$$

• $$5+4i$$

• $$5-4i$$

• $$3-2i$$

Fill in the Blanks

Multiply the numerator from the question. $\left(4-3i\right)\left(3-2i\right)$ . After you simplify what is the value of the coefficient (number in front of) the i term?

​In your notebook multiply out the top and bottom of your problem. Do not move on until you have attempted both.

Fill in the Blanks

For the numerator (top) combine like terms, change your $i^2$ and simplify. What is the coefficient (number in front) of the i term?

Fill in the Blanks

For the denominator (bottom) multiply, change your $i^2$ , combine like terms, and simplify. What is the value of the constant? (regualr number)?