SOLUTION: I'm stuck!! Can you help?? Thank you very much!! sqrt(75a^2b^3c) :

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Question 274580: I'm stuck!! Can you help?? Thank you very much!!
sqrt(75a^2b^3c)
:
Found 2 solutions by ankor@dixie-net.com, dabanfield:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2875a%5E2b%5E3c%29
Factor to reveal perfect squares
sqrt%2825%2A3%2Aa%5E2%2Ab%5E2%2Ab%2Ac%29
:
25, a^2 and b^2 are perfect squares and can be extracted, so you have;
5%2Aa%2Ab%2Asqrt%283bc%29

Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(75a^2b^3c) =
sqrt(3*25*a^2*2b*b^2*c) =
sqrt(3)*sqrt(25)*sqrt(a^2)*sqrt(2b)*sqrt(b^2)*sqrt(c) =
sqrt(3)*5*a*sqrt(2b)*b*sqrt(c) =
5ab*sqrt(3)*sqrt(2b)*sqrt(c) =
5ab*(sqrt(3*2b*c) =
5ab*sqrt(6bc)