id0617045 id0617045

23-12-2017
Mathematics

contestada

Simplify the expression

3+4i/2+4i

A. 22-4i/12
B. 22-4i/20
C. -10-4i/20
D. -10+20i/20

Respuesta :

surjithayer10otahza surjithayer10otahza

06-10-2019

Answer:

B

Step-by-step explanation:

[tex]\frac{3+4\iota}{2+4\iota}=\frac{3+4 \iota}{2+4\iota} \times \frac{2-4 \iota}{2-4 \iota}\\=\frac{6 -12 \iota+8 \iota-16 \iota^2 }{4-16 \iota^2 }\\=\frac{ 6-4 \iota+16}{4+16}\\=\frac{22-4 \iota}{20}[/tex]

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