Rewrite the square root of the division $\sqrt{\frac{19}{12}}$ as the division of square roots $\frac{\sqrt{19}}{\sqrt{12}}$.
$$\frac{\sqrt{19}}{\sqrt{12}}$$
Factor $12=2^{2}\times 3$. Rewrite the square root of the product $\sqrt{2^{2}\times 3}$ as the product of square roots $\sqrt{2^{2}}\sqrt{3}$. Take the square root of $2^{2}$.
$$\frac{\sqrt{19}}{2\sqrt{3}}$$
Rationalize the denominator of $\frac{\sqrt{19}}{2\sqrt{3}}$ by multiplying numerator and denominator by $\sqrt{3}$.
