\(\sqrt{2,25\cdot400\cdot\dfrac{1}{4}}=\sqrt{2,25}\sqrt{400}\sqrt{\dfrac{1}{4}}=1,5\cdot20\cdot\dfrac{1}{2}=15\\ \sqrt{0,36\cdot100\cdot81}=\sqrt{0,36}\sqrt{100}\sqrt{81}=0,6\cdot100\cdot9=540\\ \sqrt{0,001\cdot360\cdot3^2\left(-3\right)^2}=\sqrt{0,01\cdot36\cdot81}=\sqrt{0,01}\sqrt{36}\sqrt{81}=0,1\cdot6\cdot9=5,4\\ \sqrt{\dfrac{1}{5}\cdot\dfrac{1}{20}\cdot3\cdot27}=\sqrt{\dfrac{1}{100}\cdot81}=\sqrt{\dfrac{1}{100}}\cdot\sqrt{81}=\dfrac{1}{10}\cdot9=\dfrac{9}{10}\)