SOLUTION: please help sqrt75t^3+8sqrt108t^3

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Question 67496: please help
sqrt75t^3+8sqrt108t^3

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
please help 



Break everything down into prime factors with
no exponents showing:




Since it's a square root, pair up groups of two
(pairs) of like factors:




The pair of 5's and the pair of t's under the first radical
come out front as a single 5 and a single t, the 3 and the
t that did not pair up stay under the radical:




The pair of 2's, the pair of 3's, and the pair of t's under
the second radical come out front as a single 2, a single 3,
and a single t, the 3 and the t that did not pair up stay 
under the radical:

      

      

Factor out 

      

      

      

Edwin

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