SOLUTION: Hello! I have been working on simplifying radical expressions and I have been stumped on one question. That question is.... (4√6x)(2√18x) I have tried: 8√108

Algebra ->  Radicals -> SOLUTION: Hello! I have been working on simplifying radical expressions and I have been stumped on one question. That question is.... (4√6x)(2√18x) I have tried: 8√108      Log On


   

Question 644563: Hello! I have been working on simplifying radical expressions and I have been stumped on one question. That question is....
(4√6x)(2√18x)
I have tried:
8√108x(squared)
8√36x times √3x
48 √x times √3x
The real answer is: 48x√3 but I am really confused as to how to get that answer. Thanks so much for your time!
Found 3 solutions by jim_thompson5910, Alan3354, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
48 √x times √3x = 48 √x*3x = 48√x^2*3 = 48√x^2*√3 = 48x√3

So 48 √x times √3x = 48x√3

which means that

(4√6x)(2√18x) = 48x√3

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Answer by Alan3354(69443) About Me  (Show Source):
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(4√6x)(2√18x)
I have tried:
8√108x^2
8√36x^2 * √3
48x*√3
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Cheers,
Stan H.