[tex]\sqrt{\dfrac{8x^5 y^2}{z^3}}\\\\\\=\dfrac{\sqrt{8x^5 y^2}}{\sqrt{z^3}}\\\\\\=\dfrac{\left( y\sqrt{8}\right) \sqrt{x^5}}{\sqrt{z^2 \cdot z}}\\\\\\=\dfrac{\left(y\sqrt{4\cdot 2} \right) \sqrt{x^2 \cdot x^2 \cdot x}}{z\sqrt z}\\\\\\=\dfrac{\left(2\sqrt 2 \right) y x^2\sqrt{x}}{z\sqrt z}\\[/tex]
