SOLUTION: Can you explain how to do this problem? (sqrt(6)-i)(sqrt(6)+8i)

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Question 595437: Can you explain how to do this problem?
(sqrt(6)-i)(sqrt(6)+8i)
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
Remember that the letter i represents the complex number, the square root of -1. You solve this problem by using the distributive property. We have a two-term expression multiplied by another two-term expression. If you remember "FOIL" from earlier algebra classes, this is a similar process.
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Multiply each term in the first expression by each of the terms in the second expression. You will then have one 4-term expression.
%28sqrt%286%29-i%29%28sqrt%286%29%2B8i%29

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Now simplify and combine any like terms [Note:(-i)(i)=1].
sqrt%2836%29%2B%28sqrt%286%29%29%288i%29-%28i%29%28sqrt%286%29%29%2B%281%29%288%29
6%2B%28sqrt%286%29%29%288i%29-%28i%29%28sqrt%286%29%29%2B8
%28sqrt%286%29%29%288i%29-%28i%29%28sqrt%286%29%29%2B14
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Now you can factor sqrt(6) out of the first two terms, and simplify.
%28sqrt%286%29%29%288i-i%29%2B14
%28sqrt%286%29%29%287i%29%2B14
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Hope this helps! Please email me if you are confused about any of my steps.
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Mrs. Figgy
math.in.the.vortex@gmail.com