Reduce the fraction $\frac{448}{5055232}$ to lowest terms by extracting and canceling out $448$.
$$448\sqrt{\frac{1}{11284}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{11284}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{11284}}$.
$$448\times \frac{\sqrt{1}}{\sqrt{11284}}$$
Calculate the square root of $1$ and get $1$.
$$448\times \frac{1}{\sqrt{11284}}$$
Factor $11284=2^{2}\times 2821$. Rewrite the square root of the product $\sqrt{2^{2}\times 2821}$ as the product of square roots $\sqrt{2^{2}}\sqrt{2821}$. Take the square root of $2^{2}$.
$$448\times \frac{1}{2\sqrt{2821}}$$
Rationalize the denominator of $\frac{1}{2\sqrt{2821}}$ by multiplying numerator and denominator by $\sqrt{2821}$.
