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)

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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.
Thanks
Found 3 solutions by Alan3354, ewatrrr, rwm:
Answer by Alan3354(69443)   (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(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi



Need to be familiar with the properties of exponents:





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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) 

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