SOLUTION: Hello. I need to simplify the following and justify each step. Can you help? √6(5√3+6) Thank you!

Algebra ->  Radicals -> SOLUTION: Hello. I need to simplify the following and justify each step. Can you help? √6(5√3+6) Thank you!      Log On


   

Question 758176: Hello. I need to simplify the following and justify each step. Can you help?
√6(5√3+6)
Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
√6(5√3+6)
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Use the Distributive Law to get:
= 5*sqrt(18) + 6sqrt(6)
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= 5*sqrt(9*3) + 6 sqrt(6))
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= 5*3*sqrt(3) + 6sqrt(6)
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= 15sqrt(3) + 6sqrt(6)
===========================
Cheers,
Stan H.