$ \frac{\sqrt{x \sqrt{x}}}{\sqrt{x}} = \frac{\sqrt{\sqrt{x^2 \times x}}}{\sqrt{x}} = \frac{\sqrt[4]{x^3}}{\sqrt{x}} = \frac{\sqrt[4]{x^3}}{\sqrt[4]{x^2}} = \sqrt[4]{\frac{x^3}{x^2}} = \sqrt[4]{x} $