\(\sqrt{200}=\sqrt{100}⋅\sqrt{2}=10\sqrt{2}\text{.}\)

\(2\sqrt{63}=2⋅\sqrt{9}⋅\sqrt{7}=2⋅3⋅\sqrt{7}=6\sqrt{7}\text{.}\)

\(\sqrt{\frac{1}{36}}={\sqrt{1} \over \sqrt{36}}=\frac{1}{6}\text{.}\)

\({27\sqrt{72} \over 3\sqrt{3}}={27 \over 3}⋅{\sqrt{72} \over \sqrt{3}}=9\sqrt{24}=9⋅\sqrt{4}⋅\sqrt{6}=9⋅2⋅\sqrt{6}=18\sqrt{6}\)

\(\sqrt{\frac{12}{25}}={\sqrt{12} \over \sqrt{25}}={\sqrt{12} \over 5}=\frac{1}{5}\sqrt{12}=\frac{1}{5}⋅2⋅\sqrt{3}=\frac{2}{5}\sqrt{3}\text{.}\)