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

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Question 102478: multiply
(8√[6] + 3√[2])(4√[6] – 5√[2])

Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
(8√[6] + 3√[2])(4√[6] – 5√[2])
Use the FOIL method (First, Outer, Inner, Last)
%28a%2Bb%29%2A%28c%2Bd%29=a%2Ac%2Ba%2Ad%2Bb%2Ac%2Bb%2Ad
a=8%2Asqrt%286%29
b=3%2Asqrt%282%29
c=4%2Asqrt%286%29
d=-5%2Asqrt%282%29
a%2Ac=8%2Asqrt%286%29%2A4%2Asqrt%286%29=32%2Asqrt%2836%29=32%2A6=192


b%2Ad=3%2Asqrt%282%29%2A-5%2Asqrt%282%29=-15%2Asqrt%284%29=-15%2A2=-30
SUM=192%2B80%2Asqrt%283%29%2B24%2Asqrt%283%29%2B30
(8√[6] + 3√[2])(4√[6] – 5√[2])=162-56%2Asqrt%283%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
multiply
(8√[6] + 3√[2])(4√[6] – 5√[2])
Use FOIL:
F: 32*6 = 192
O: -40sqrt(12)
I: +12sqrt(12)
L: -15*2= -30
-----------------
Combine these to get:
= 162 -28sqrt(12)
= 162 -56sqrt(3)
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Cheers,
Stan H.