Question 193957: SIMPLIFY
(5 + 2*THE SQUARE ROOT OF 3)*(4 - 5*THE SQUARE ROOT OF 2)
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! These problems can be solved by "distribution" just like an (x+y)(2x+2y) problem
In fact, we can use the FOIL technique here
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( 5 +2 sqrt3 ) * ( 4 - 5 sqrt2 )
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20 - 25 sqrt2 +8 sqrt3 -10 sqrt6,,,,,,,,,,,(sqrt3 *sqrt2 = sqrt6)
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we should look to combine like terms,,,in this case no
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and to remove any perfect squares due to multiplying two sq rts,,,in this case no
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ANSWER is ,,,,, 20 - 25 sqrt 2 +8 sqrt 3 -10 sqrt 6
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check by using calculator on original, and on answer, ok both give -26
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