SOLUTION: Multiply {{{ (2sqrt(3)-4sqrt(6))(3sqrt(3)+6sqrt(6)) }}} i got -126 is this correct, please help me

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply {{{ (2sqrt(3)-4sqrt(6))(3sqrt(3)+6sqrt(6)) }}} i got -126 is this correct, please help me      Log On


   

Question 359606: Multiply

+%282sqrt%283%29-4sqrt%286%29%29%283sqrt%283%29%2B6sqrt%286%29%29+

i got -126 is this correct, please help me
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+%282sqrt%283%29-4sqrt%286%29%29%283sqrt%283%29%2B6sqrt%286%29%29+
= 6%2A3+-+24%2A6+%2B+12sqrt%2818%29+-+12sqrt%2818%29
= 18+-+144
= -126
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You're way off.
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Or do it this way:
+%282sqrt%283%29-4sqrt%286%29%29%283sqrt%283%29%2B6sqrt%286%29%29+
= 2%2A%28sqrt%283%29+-+2sqrt%286%29%29+%2A+3%2A%28sqrt%283%29+-+2sqrt%286%29%29
= 6%2A+%28sqrt%283%29+-+2sqrt%286%29%29+%2A+%28sqrt%283%29+-+2sqrt%286%29%29
= 6 * (3 - 24)
= -126