Answer
$$\frac{5x^2y^3}{2\sqrt{3}z^{\frac{5}{2}}}\\ $$
Work Step by Step
Using the rules of radicals to simplify, we find:
$$\sqrt{\frac{25x^4y^6}{12z^5}} \\ \frac{\sqrt{25}\sqrt{x^4}\sqrt{y^6}}{\sqrt{12}\sqrt{z^5}} \\ \frac{5\sqrt{x^4}\sqrt{y^6}}{2\sqrt{3}z^{\frac{5}{2}}} \\ \frac{5x^2y^3}{2\sqrt{3}z^{\frac{5}{2}}}\\ $$
