What is the simplest form of the radical expression
\(\quad\sqrt{75x^3y^6}\\ =\sqrt{75}\cdot\sqrt{x^3}\cdot\sqrt{y^6}\\ =\sqrt{25}\cdot\sqrt3\cdot(x\cdot\sqrt{x})\cdot(y^3)\\ =5xy^3\sqrt{3x}\)
Therefore the fourth option is the answer.