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What is 6/((-i(sqrt(3))/2) equal to?

 Nov 20, 2015
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6/((-i(sqrt(3))/2)

 

I have assumed that   \(i=\sqrt{-1}\)

 

\(6\div ((-\sqrt3 i)/2)\\ =6\div \frac{-\sqrt3 i}{2}\\ =-6\times \frac{2}{\sqrt3 i}\\ = \frac{-12}{\sqrt3\; i}\\ = \frac{-12}{\sqrt3\; i}\times\frac{\sqrt3\;i}{\sqrt3\;i}\\ = \frac{-12\sqrt3\;i}{3*-1}\\ = \frac{4\sqrt3\;i}{1}\\ =4\sqrt3\;i \)

 Nov 20, 2015

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