SOLUTION: Please help to simplify 3i - 2i^2 + 3 DIvided by the square root of -16 - the square root of -2 times the square root of -2

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Question 76292This question is from textbook Alegbra Concepts and Applications
: Please help to simplify
3i - 2i^2 + 3
DIvided by
the square root of -16 - the square root of -2 times the square root of -2 This question is from textbook Alegbra Concepts and Applications

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simplify
3i - 2i^2 + 3
DIvided by
the square root of -16 - the square root of -2 times the square root of -2
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[3i -2i^2 + 3]/[sqrt(-16) -(sqrt(-2)*sqrt(-2))]
=[3i + 2 + 3]/[4i -(isqrt(2))^2]
=[3i+5]/[4i - (-2)]
=[5+3i]/[2+4i]
Multiply numerator and denominator by 2-4i to get:
=(5+3i)(2-4i)/20
=(22-14i)/20
=(11-7i)/10
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Cheers,
Stan H.