Rewrite the square root of the division $\sqrt{\frac{188}{7}}$ as the division of square roots $\frac{\sqrt{188}}{\sqrt{7}}$.
$$\frac{\sqrt{188}}{\sqrt{7}}$$
Factor $188=2^{2}\times 47$. Rewrite the square root of the product $\sqrt{2^{2}\times 47}$ as the product of square roots $\sqrt{2^{2}}\sqrt{47}$. Take the square root of $2^{2}$.
$$\frac{2\sqrt{47}}{\sqrt{7}}$$
Rationalize the denominator of $\frac{2\sqrt{47}}{\sqrt{7}}$ by multiplying numerator and denominator by $\sqrt{7}$.
