Reduce the fraction $\frac{448}{5136768}$ to lowest terms by extracting and canceling out $448$.
$$448\sqrt{\frac{1}{11466}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{11466}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{11466}}$.
$$448\times \frac{\sqrt{1}}{\sqrt{11466}}$$
Calculate the square root of $1$ and get $1$.
$$448\times \frac{1}{\sqrt{11466}}$$
Factor $11466=21^{2}\times 26$. Rewrite the square root of the product $\sqrt{21^{2}\times 26}$ as the product of square roots $\sqrt{21^{2}}\sqrt{26}$. Take the square root of $21^{2}$.
$$448\times \frac{1}{21\sqrt{26}}$$
Rationalize the denominator of $\frac{1}{21\sqrt{26}}$ by multiplying numerator and denominator by $\sqrt{26}$.
