Rewrite the square root of the division $\sqrt{\frac{88}{7}}$ as the division of square roots $\frac{\sqrt{88}}{\sqrt{7}}$.
$$1\times \frac{\sqrt{88}}{\sqrt{7}}$$
Factor $88=2^{2}\times 22$. Rewrite the square root of the product $\sqrt{2^{2}\times 22}$ as the product of square roots $\sqrt{2^{2}}\sqrt{22}$. Take the square root of $2^{2}$.
$$1\times \frac{2\sqrt{22}}{\sqrt{7}}$$
Rationalize the denominator of $\frac{2\sqrt{22}}{\sqrt{7}}$ by multiplying numerator and denominator by $\sqrt{7}$.
