[tex]...=6\sqrt{25\cdot2}-9\sqrt{16\cdot2}-3\sqrt{9\cdot5}+4\sqrt{4\cdot5}-\sqrt{100\cdot2}+2\sqrt{16\cdot5}=\\
=6\cdot2\sqrt2-9\cdot4\sqrt2-3\cdot3\sqrt5+4\cdot2\sqrt5-10\sqrt2+2\cdot4\sqrt5=\\
=12\sqrt2-36\sqrt2-9\sqrt5+8\sqrt5-10\sqrt2+8\sqrt5=\\
=-34\sqrt2+7\sqrt5[/tex]