Reduce the fraction $\frac{8}{4536}$ to lowest terms by extracting and canceling out $8$.
$$567\sqrt{\frac{1}{567}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{567}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{567}}$.
$$567\times \frac{\sqrt{1}}{\sqrt{567}}$$
Calculate the square root of $1$ and get $1$.
$$567\times \frac{1}{\sqrt{567}}$$
Factor $567=9^{2}\times 7$. Rewrite the square root of the product $\sqrt{9^{2}\times 7}$ as the product of square roots $\sqrt{9^{2}}\sqrt{7}$. Take the square root of $9^{2}$.
$$567\times \frac{1}{9\sqrt{7}}$$
Rationalize the denominator of $\frac{1}{9\sqrt{7}}$ by multiplying numerator and denominator by $\sqrt{7}$.
