Reduce the fraction $\frac{448}{489216}$ to lowest terms by extracting and canceling out $448$.
$$448\sqrt{\frac{1}{1092}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{1092}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{1092}}$.
$$448\times \frac{\sqrt{1}}{\sqrt{1092}}$$
Calculate the square root of $1$ and get $1$.
$$448\times \frac{1}{\sqrt{1092}}$$
Factor $1092=2^{2}\times 273$. Rewrite the square root of the product $\sqrt{2^{2}\times 273}$ as the product of square roots $\sqrt{2^{2}}\sqrt{273}$. Take the square root of $2^{2}$.
$$448\times \frac{1}{2\sqrt{273}}$$
Rationalize the denominator of $\frac{1}{2\sqrt{273}}$ by multiplying numerator and denominator by $\sqrt{273}$.
