SOLUTION: Multiply (8√[6] + 3√[2])(4√[6] – 5√[2])

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Question 147000: Multiply
(8√[6] + 3√[2])(4√[6] – 5√[2])
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For this problem use the FOIL method and an example problem,
%28A%2BB%29%28C%2BD%29
First:%28highlight%28A%29%2BB%29%28highlight%28C%29%2BD%29%3AA%2AC
Outer:%28highlight%28A%29%2BB%29%28C%2Bhighlight%28D%29%29%3AA%2AD
Inner:%28A%2Bhighlight%28B%29%29%28highlight%28C%29%2BD%29%3AB%2AC
Last:%28A%2Bhighlight%28B%29%29%28C%2Bhighlight%28D%29%29%3AB%2AD
Then add them all together.
%28A%2BB%29%28C%2BD%29=+A%2AC%2BA%2AD%2BB%2AC%2BB%2AD
Then add them all together.
%288%2Asqrt%286%29%2B3%2Asqrt%282%29%29%2A%284%2Asqrt%286%29-5%2Asqrt%282%29%29
First:%288%2Asqrt%286%29%29%2A%284%2Asqrt%286%29%29=8%2A4%2A6=192
Outer:%288%2Asqrt%286%29%29%2A%28-5%2Asqrt%282%29%29=-40%2Asqrt%2812%29
Inner:%283%2Asqrt%282%29%29%2A%284%2Asqrt%286%29%29=12%2Asqrt%2812%29
Last:%283%2Asqrt%282%29%29%2A%28-5%2Asqrt%282%29%29=3%2A%28-5%29%2A2=-30
Now add it all together,


Further simplification is possible,
sqrt%2812%29=sqrt%284%2A3%29=2%2Asqrt%283%29