Answer :
[tex]\sqrt{\frac{48x^{3}}{3xy^{2}}} = \frac{\sqrt{48x^{3}}}{\sqrt{3xy^{2}}} = \frac{\sqrt{16x^{2} * 3x}}{\sqrt{y^{2} * 3x}}} = \frac{\sqrt{16x^{2}}\sqrt{3x}}{\sqrt{y^{2}}\sqrt{3x}} = \frac{4x\sqrt{3x}}{y \sqrt{3x}} = \frac{4x}{y}[/tex]
