[tex]\sqrt{675}=\sqrt{25\cdot27}=\sqrt{25\cdot9\cdot3}=5\cdot3\sqrt3=15\sqrt3
\\\;\\
\sqrt{1200}=\sqrt{12\cdot100}=\sqrt{3\cdot4\cdot100}=2\cdot10\sqrt3=20\sqrt3
\\\;\\
\sqrt{567} =\sqrt{9\cdot63}=\sqrt{9\cdot9\cdot7}=3\cdot3\sqrt7=9\sqrt7
\\\;\\
\sqrt{1372}=\sqrt{4\cdot343}=\sqrt{4\cdot49\cdot7}=2\cdot7\sqrt7=14\sqrt7[/tex]