SOLUTION: How do I simplify (5+2 times the square root of 6) times (8-3 times the square root of 6)?

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Question 125555: How do I simplify (5+2 times the square root of 6) times (8-3 times the square root of 6)?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I simplify (5+2 times the square root of 6) times (8-3 times the square root of 6)?
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(5+2sqrt(6))(8-3sqrt(6))
Use FOIL to get:
F: 5*8 = 40
O: 5*-3sqrt(6)= -15sqrt(6)
I: 8*2sqrt(6) = 16sqrt(6)
L: 2sqrt(6)*-3sqrt6 = -6*6 = - 36
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Combine to get:
= 4+sqrt(6)
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Cheers,
Stan H.