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Simplify the expression square root of -1 over (3+8i) - (2+5i) A. 3+i/10 B. -3+i/10 C. 3-i/10 D. -3-i/10

Simplify the expression square root of -1 over (3+8i) - (2+5i) A. 3+i/10 B. -3+i/10 C. 3-i/10 D. -3-i/10
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Simplify the expression square root of -1 over (3+8i) - (2+5i)

A. 3+i/10

B. -3+i/10

C. 3-i/10

D. -3-i/10

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User Gallaugher
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1 Answer

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(i)/((3 \: + \: 8i) \: - \: (2 \: + \: 5i)) \: = \: (i)/(1 \: + \: 3i) \: = \: (i)/(1 \: + \: 3 i) \: * \: (1 \: - \: 3i)/(1 \: - \: 3i) \: = \: (i \: + \: 3)/(1 \: + \: 9) \: = \: (3 \: + \: i)/(10)A) (3 + i)/10
answered
User Xavier Dury
by
8.5k points
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