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Alex17521 [72]
3 years ago
5

8i-(12-4i)+7√-9 show work please

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

33i - 12

Step-by-step explanation:

8i - (12 - 4i) + 7 \sqrt{ - 9}   \\  = 8i - 12  + 4i + 7 \sqrt{9  \times ( - 1)}  \\ = 12i - 12 + 7 \times 3 \sqrt{ - 1}  \\ = 12i - 12 + 21i  \:  \: ( \because  \sqrt{ - 1} = i)\\  = 12i + 21i - 12 \\   \therefore \red{ \bold{8i - (12 - 4i) + 7 \sqrt{ - 9} }=  \purple{ \bold{33i - 12}}}

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