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

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Question 146716: Multiply:
(8sqrt[6] + 3sqrt[2])(4sqrt[6] – 5sqrt[2])
Found 2 solutions by jim_thompson5910, edjones:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%288%2Asqrt%286%29+%2B+3%2Asqrt%282%29%29%284%2Asqrt%286%29+-+5%2Asqrt%282%29%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


Multiply the First terms:%288%2Asqrt%286%29+%29%2A%284%2Asqrt%286%29+%29=192.


Multiply the Outer terms:%288%2Asqrt%286%29+%29%2A%28-+5%2Asqrt%282%29%29=-40sqrt%2812%29=-80sqrt%283%29.


Multiply the Inner terms:%28+3%2Asqrt%282%29%29%2A%284%2Asqrt%286%29+%29=12sqrt%2812%29=24sqrt%283%29.


Multiply the Last terms:%28+3%2Asqrt%282%29%29%2A%28-+5%2Asqrt%282%29%29=-30.


192-80sqrt%283%29%2B24sqrt%283%29-30 Now collect every term to make a single expression.


162-56sqrt%283%29 Now combine like terms.


So %288%2Asqrt%286%29+%2B+3%2Asqrt%282%29%29%284%2Asqrt%286%29+-+5%2Asqrt%282%29%29 FOILS to 162-56sqrt%283%29.


In other words, .

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(8sqrt[6] + 3sqrt[2])(4sqrt[6] – 5sqrt[2])
F 32*6
O -40sqrt(12)
I 12sqrt(12)
L -15*2
.
192-28sqrt(4*3)-30
162-56sqrt(3)
.
Ed