Rewrite the square root of the division $\sqrt{\frac{7}{368}}$ as the division of square roots $\frac{\sqrt{7}}{\sqrt{368}}$.
$$\frac{\sqrt{7}}{\sqrt{368}}$$
Factor $368=4^{2}\times 23$. Rewrite the square root of the product $\sqrt{4^{2}\times 23}$ as the product of square roots $\sqrt{4^{2}}\sqrt{23}$. Take the square root of $4^{2}$.
$$\frac{\sqrt{7}}{4\sqrt{23}}$$
Rationalize the denominator of $\frac{\sqrt{7}}{4\sqrt{23}}$ by multiplying numerator and denominator by $\sqrt{23}$.
