Rewrite the square root of the division $\sqrt{\frac{29}{126}}$ as the division of square roots $\frac{\sqrt{29}}{\sqrt{126}}$.
$$\frac{\sqrt{29}}{\sqrt{126}}$$
Factor $126=3^{2}\times 14$. Rewrite the square root of the product $\sqrt{3^{2}\times 14}$ as the product of square roots $\sqrt{3^{2}}\sqrt{14}$. Take the square root of $3^{2}$.
$$\frac{\sqrt{29}}{3\sqrt{14}}$$
Rationalize the denominator of $\frac{\sqrt{29}}{3\sqrt{14}}$ by multiplying numerator and denominator by $\sqrt{14}$.
