P.7 Complex Numbers

Multiple Choice

$$i\ -\ 5$$  

• This is a real number

• This is a complex number

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Write $\frac{12+2i}{3}$  as a complex number in the form a+bi. If a fraction is needed, use parentheses around the fraction to distinguish it.

Fill in the Blanks

Find the product. If complex, write in the form a+2i use parentheses around any fractions.

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

Multiple Choice

$$i^{35}=$$  

• $$i$$  

• $$-1$$  

• $$-i$$  

• $$1$$  

Fill in the Blanks

What is the product of $5-2i$  and its conjugate?

Fill in the Blanks

What is the product of $3+5i$  and its conjugate?

Fill in the Blanks

Write $\frac{4}{1+i}$   in the form a + bi. (Write any fractions in parentheses),

Multiple Choice

Write $$\frac{2-\sqrt[]{-12}}{2}$$  in the form a +bi.

• $$4-3i$$  

• $$1-3i$$  

• $$1-i\sqrt[]{6}$$  

• $$1-i\sqrt[]{3}$$  

• $$1-6i$$