Answer
$\frac{x}{3y}$
Work Step by Step
Step 1: $\sqrt \frac{5x^{3}}{45xy^{2}}$
Step 2: $\sqrt \frac{5x^{3-1}}{45y^{2}}$
Step 3: $\sqrt \frac{5x^{2}}{45y^{2}}$
Step 4: $\sqrt \frac{5\times x^{2}}{45\times y^{2}}$
Step 5: $\sqrt \frac{5\times x^{2}}{5\times9\times y^{2}}$
Step 6: $\sqrt \frac{x^{2}}{9\times y^{2}}$
Step 7: $\frac{\sqrt {x^{2}}}{\sqrt 9\times\sqrt {y^{2}}}$
Step 8: $\frac{x}{3y}$
