SOLUTION: (3 sqrt 2) * (-4 sqrt 10)

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Question 200781: (3 sqrt 2) * (-4 sqrt 10)
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.


Rearrange the terms.


Multiply 3 and -4 to get -12


Combine the roots using the identity


Multiply 2 and 10 to get 20


Factor 20 to get 4*5. Note: one of the factors must be a perfect square.


Break up the roots using the identity


Take the square root of 4 to get 2.


Multiply -12 and 2 to get -24


So

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