To multiply $\sqrt{\frac{1}{7}}$ and $\sqrt{\frac{7}{11}}$, multiply the numbers under the square root.
$$\sqrt{\frac{1}{11}}\sqrt{\frac{11}{25}}$$
To multiply $\sqrt{\frac{1}{11}}$ and $\sqrt{\frac{11}{25}}$, multiply the numbers under the square root.
$$\sqrt{\frac{1}{25}}$$
Rewrite the square root of the division $\frac{1}{25}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{25}}$. Take the square root of both numerator and denominator.
