Understanding and applying conjugates of complex numbers

Rationalize and Simplify.

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CCSS.HSN.CN.A.3

Simplify

• -8+10i

• (8-10i)/3

• (-8+10i)/3

• (8+10i)/3

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CCSS.HSN.CN.A.3

 $\ \frac{2+5i}{3+i}\$  Simplify

•  $2+5i$  

•  $\frac{11}{10}+\frac{13}{10}i$  

•  $\frac{3}{10}+\frac{13}{10}i$  

•  $\frac{11}{8}+\frac{13}{8}i$  

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CCSS.HSN.CN.A.3

Simplify

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CCSS.HSN.CN.A.3

 $Express\ \frac{i}{1+i}\ in\ \ a+ib\ \ form\$  

•  $\frac{1}{2}\ +\ \frac{1}{2}i$  

•  $1+i$  

•  $\frac{1}{2}\ +\ i$  

•  $\frac{1}{2}\ -\ \frac{i}{2}$  

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CCSS.HSN.CN.A.3

Simplify

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CCSS.HSN.CN.A.3

Simplify

• (27-3i)/82
• (-45+87i)/82
• (-6+9i)/10
• (-49+87i)/82

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CCSS.HSN.CN.A.3

• A
• B
• C
• D

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CCSS.HSN.CN.A.3

Simplify

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CCSS.HSN.CN.A.3

 $If\ Z_{1\ }=\ 2-i\ and\ Z\ _2\ =\ -2+i\ ,\ then\ Im\left(\frac{Z_1.Z_2}{Z_1}\right)$  

•  $2-i$  

•  $i-2$  

•  $-3+4i$  

•  $1-i$  

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CCSS.HSN.CN.A.3