Question 274580
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)