Complex Numbers Review

Complex Numbers Review

Fill in the Blanks

$3+3i+8-2i-7$  

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$-3+6i-\left(-5-3i\right)-8i$  

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$\left(2-4i\right)\left(-6+4i\right)$  

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$\left(1-7i\right)^2$  

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$\left(7-5i\right)\left(7+5i\right)$  

Multiple Choice

Which is the conjugate of $$\left(3-4i\right)$$  ?

• $$\left(3-4i\right)$$  

• $$\left(3+4i\right)$$  

• $$\left(-3-4i\right)$$  

• $$-i$$  

Multiple Choice

• A
• B
• C
• D

Multiple Choice

What is the simplified form of the above?

• 7/10 + 11/10 i

• 13/10 +1/10 i

• 5/4 - 3/2i

• 7/10 - 11/10 i

Multiple Choice

Simplify 2√-32

• 2i√32
• 4i√2
• 8i√2
• -16i√2

Multiple Choice

Simplify -√-48

• 4i√3
• -4i√3
• i√48
• -48i

Fill in the Blanks

Simplify $-4\left(3+2\ \sqrt[\ ]{-49}\right)$

Multiple Choice

$$i^{12}$$

• 1

• -1

• $$i$$  
  

• $$-i$$  
  

Multiple Choice

$$i^{322}$$  

• $$1$$  

• $$-1$$   
  

• $$-1$$  
  

• $$-i$$  
  

Fill in the Blanks

Simplify $\frac{10i^{ }-4i^3}{\sqrt[]{-4}}$

Multiple Select

Select all that are not complex numbers

• 4-6i

• -42i

• $$16+17\pi$$

• $$33e^4$$

• 10+0i

Fill in the Blanks

Multiply using i: $\sqrt[]{-25}\times\sqrt[]{-144}$

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