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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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(30959) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi



Need to be familiar with the properties of exponents:

a%5E0+=+1

%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29

root%28a%2Cp%29%2Aroot%28a%2Cq%29+=+root%28a%2Cp%2Aq%29 ****

x%5Em%2Fx%5En=x%5E%28m-n%29

%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29







ewatrrr@aol.com

private/pay tutoring Inquiries only, please.

Answer by rwm(914) About Me  (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)