Rewrite the square root of the division $\sqrt{\frac{81096}{4085}}$ as the division of square roots $\frac{\sqrt{81096}}{\sqrt{4085}}$.
$$\frac{\sqrt{81096}}{\sqrt{4085}}$$
Factor $81096=2^{2}\times 20274$. Rewrite the square root of the product $\sqrt{2^{2}\times 20274}$ as the product of square roots $\sqrt{2^{2}}\sqrt{20274}$. Take the square root of $2^{2}$.
$$\frac{2\sqrt{20274}}{\sqrt{4085}}$$
Rationalize the denominator of $\frac{2\sqrt{20274}}{\sqrt{4085}}$ by multiplying numerator and denominator by $\sqrt{4085}$.
