Dividing Complex Numbers

Dividing Complex Numbers

I can divide complex numbers using the complex conjugate.

​Complex Conjugates

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What is the complex conjugate of $10-5i$  ?

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What is the complex conjugate of $21+i$  ?

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

​Dividing Complex Numbers

Multiple Choice

Simplify.

$$\left(3-2i\right)\div\left(-2-2i\right)$$  

• $$\frac{7+4i}{5}$$  

• $$\frac{-3+2i}{5}$$  

• $$\frac{-1+5i}{4}$$  

• $$\frac{3i+2}{2}$$  

Multiple Choice

Simplify.

$$\left(-1+2i\right)\div\left(-3+4i\right)$$  

• $$\frac{-12-16i}{25}$$  

• $$\frac{11-2i}{25}$$  

• $$\frac{-6i+8}{25}$$  

• $$\frac{2-14i}{25}$$  

Multiple Choice

Simplify.

$$\left(3i\right)\div\left(4-3i\right)$$  

• $$\frac{12i-9}{25}$$  

• $$\frac{3i-9}{10}$$  

• $$\frac{24+18i}{25}$$  

• $$\frac{12+9i}{25}$$  

Multiple Choice

Simplify.

$$\left(-1-3i\right)\div\left(-i\right)$$  

• $$-i+3$$  

• $$-1-3i$$  

• $$\frac{-4-3i}{2}$$  

• $$-9i$$