8i-(12-4i)+7√-9 show work please

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asked Oct 16, 2021 132k views

3 votes

8i-(12-4i)+7√-9

show work please

Mathematics
high-school

ChristopheCVB asked

by ChristopheCVB

3.3k points

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1 Answer

5 votes

Answer:

33i - 12

Explanation:

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