Understanding and applying conjugates of complex numbers

• A
• B
• C
• D

Calculate:

• -3/4 − 1/4i
• 3/4 + 1/4i
• -3/4 + 1/4i
• 3/4 − 1/4i

Solve the above complex number in the form of a+bi

• 4/5 + 7i/5

• -4/5 - 7i/5

• -4/5 - 7i/5

• 4/5 - 7i/5

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Simplify  $\frac{3+2i}{4i}$  

•  $\frac{1}{2}-\frac{3i}{4}$  

•  $\frac{1}{2}+\frac{3i}{4}$  

•  $2+\frac{3i}{4}$  

•  $2-\frac{3i}{4}$  

• A
• B
• C
• D

• Multiply the top and bottom by 3-2i

• Multiply the top and bottom by 5 + 8i

• multiply the top by 5 + 8i and the bottom by 3 - 2i

• Multiply the top and bottom by -3 - 2i

Simplify

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• 
• 
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Calculate:

 $\frac{\left(2-3i\right)}{\left(5-3i\right)}+\frac{\left(2+3i\right)}{\left(5+3i\right)}$  

•  $1\frac{2}{17}$  
  

•  $0$  
  

•  $\frac{\left(38-18i\right)}{34}$  
  

•  $-\frac{9}{17}i$  
  

• non of the above

Simplify the expression.

 $\sqrt{\frac{-28}{45}}$  

•  $\frac{i\sqrt{1260}}{45}$  

•  $\frac{i\sqrt{7}}{4}$  

•  $\frac{2i\sqrt{35}}{15}$  

•  $\frac{2i\sqrt{35}}{5}$