Answer
$$6s^\frac{3}{2}t^4v^4$$
Work Step by Step
Simplifying the given expression using the rules of radicals, we find:
$$\sqrt{6}s\sqrt{t^3v^5}\sqrt{6st^5v^3}\\ st^{\frac{3}{2}}v^{\frac{5}{2}}\cdot \:6\sqrt{s}t^{\frac{5}{2}}v^{\frac{3}{2}} \\ s\cdot \:6\sqrt{s}t^{\frac{3}{2}+\frac{5}{2}}v^{\frac{5}{2}+\frac{3}{2}} \\ =6st^4v^4\sqrt{s} \\ =6s^\frac{3}{2}t^4v^4$$