Factor $147=7^{2}\times 3$. Rewrite the square root of the product $\sqrt{7^{2}\times 3}$ as the product of square roots $\sqrt{7^{2}}\sqrt{3}$. Take the square root of $7^{2}$.
Factor $700=10^{2}\times 7$. Rewrite the square root of the product $\sqrt{10^{2}\times 7}$ as the product of square roots $\sqrt{10^{2}}\sqrt{7}$. Take the square root of $10^{2}$.
Factor $28=2^{2}\times 7$. Rewrite the square root of the product $\sqrt{2^{2}\times 7}$ as the product of square roots $\sqrt{2^{2}}\sqrt{7}$. Take the square root of $2^{2}$.
Factor $2187=27^{2}\times 3$. Rewrite the square root of the product $\sqrt{27^{2}\times 3}$ as the product of square roots $\sqrt{27^{2}}\sqrt{3}$. Take the square root of $27^{2}$.
