SOLUTION: multiply ( 2sqrt(3) - 4sqrt(6) )( 3sqrt(3) + 6sqrt(6) )

Question 358123: multiply

( 2sqrt(3) - 4sqrt(6) )( 3sqrt(3) + 6sqrt(6) )
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

This expression is similar to
(2x - 3y)(3x + 6y)
and we do the same thing to multiply: Use FOIL (or whatever technique you have learned to multiply polynomials):

Within each product we will multiply the coefficients and use the property of radicals, , to multiply the square roots:

which simplifies as follows:

Since and and since the two middle terms cancel out:

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