# SOLUTION: Perform the multiplication and simplify, if possible 9 sqrt(3) (8 sqrt (5) + 6 sqrt (7)) options are 54 sqrt (15) + 72 sqrt (21) 72 sqrt (15) + 54 sqrt (21) 54 sqrt (3)

Algebra ->  Algebra  -> Radicals -> SOLUTION: Perform the multiplication and simplify, if possible 9 sqrt(3) (8 sqrt (5) + 6 sqrt (7)) options are 54 sqrt (15) + 72 sqrt (21) 72 sqrt (15) + 54 sqrt (21) 54 sqrt (3)       Log On

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 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Radicals Question 442759: Perform the multiplication and simplify, if possible 9 sqrt(3) (8 sqrt (5) + 6 sqrt (7)) options are 54 sqrt (15) + 72 sqrt (21) 72 sqrt (15) + 54 sqrt (21) 54 sqrt (3) + 72 sqrt (7) 72 sqrt (3) + 54 sqrt (7) 72 sqrt (5) + 54 sqrt (7) Can someone pleas show me how to work this problem. ThanksFound 3 solutions by Alan3354, ewatrrr, rwm:Answer by Alan3354(30959)   (Show Source): You can put this solution on YOUR website!Perform the multiplication and simplify, if possible 9 sqrt(3) (8 sqrt (5) + 6 sqrt (7)) options are 54 sqrt (15) + 72 sqrt (21) 72 sqrt (15) + 54 sqrt (21) 54 sqrt (3) + 72 sqrt (7) 72 sqrt (3) + 54 sqrt (7) 72 sqrt (5) + 54 sqrt (7) ---------------- 9 sqrt(3)*(8 sqrt (5) + 6 sqrt (7)) Just multiply it. Multiply what's outside and inside the radicals separately. = 9*8*sqrt(3*5) + 9*6*sqrt(3*7) = 72sqrt(15) + 54sqrt(21) Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi Need to be familiar with the properties of exponents: **** ewatrrr@aol.com private/pay tutoring Inquiries only, please. ```Answer by rwm(914)   (Show Source): You can put this solution on YOUR website!72 sqrt (15) + 54 sqrt (21) multiply 9 sqrt(3) by 8 sqrt(5) and multiply 9 sqrt(3) byb 6 sqrt(7) one at a time is 9*8=72 sqrt(3)*sqrt(5)=sqrt(15) 9*6=54 sqrt(3)*sqrt(7)=sqrt(21) combine terms we get 72 sqrt (15) + 54 sqrt (21)