The absolute value of a real number $a$ is $a$ when $a\geq 0$, or $-a$ when $a<0$. The absolute value of $\frac{9}{100000000000000}$ is $\frac{9}{100000000000000}$.
Multiply $9000000000$ and $\frac{9}{100000000000000}$ to get $\frac{81}{100000}$.
$$\sqrt{\frac{\frac{81}{100000}}{0.1}}$$
Express $\frac{\frac{81}{100000}}{0.1}$ as a single fraction.
$$\sqrt{\frac{81}{100000\times 0.1}}$$
Multiply $100000$ and $0.1$ to get $10000$.
$$\sqrt{\frac{81}{10000}}$$
Rewrite the square root of the division $\frac{81}{10000}$ as the division of square roots $\frac{\sqrt{81}}{\sqrt{10000}}$. Take the square root of both numerator and denominator.
