Reduce the fraction $\frac{448}{5218304}$ to lowest terms by extracting and canceling out $448$.
$$448\sqrt{\frac{1}{11648}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{11648}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{11648}}$.
$$448\times \frac{\sqrt{1}}{\sqrt{11648}}$$
Calculate the square root of $1$ and get $1$.
$$448\times \frac{1}{\sqrt{11648}}$$
Factor $11648=8^{2}\times 182$. Rewrite the square root of the product $\sqrt{8^{2}\times 182}$ as the product of square roots $\sqrt{8^{2}}\sqrt{182}$. Take the square root of $8^{2}$.
$$448\times \frac{1}{8\sqrt{182}}$$
Rationalize the denominator of $\frac{1}{8\sqrt{182}}$ by multiplying numerator and denominator by $\sqrt{182}$.
