[tex]4\sqrt 7-(2\sqrt 2-3\sqrt 7)+8\sqrt 2=\\4\sqrt 7-2\sqrt 2+3\sqrt 7+8\sqrt 2=\boxed{7\sqrt 7+6\sqrt 2} \\[/tex]
4√7−(2√2−3√7)+8√2=
4√7 - 2√2 + 3√7 + 8√2 =
7√7 + 6√2