[tex]B=\sqrt{6+2\sqrt{2}.\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-\sqrt{128}}}}}[/tex]
$B=\sqrt{6+2\sqrt{2}.\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-8\sqrt{2}}}}}
\\=\sqrt{6+2\sqrt{2}.\sqrt{3-\sqrt{\sqrt{2}+2\sqrt{3}+\sqrt{(4-\sqrt{2})^2}}}}
\\=\sqrt{6+2\sqrt{2}.\sqrt{3-\sqrt{4+2\sqrt{3}}}}=\sqrt{6+2\sqrt{2}.\sqrt{3-\sqrt{(\sqrt{3}+1)^2}}}
\\=\sqrt{6+2\sqrt{2}.\sqrt{2-\sqrt 3}}=\sqrt{6+2\sqrt{4-2\sqrt 3}}=\sqrt{6+2\sqrt{(\sqrt 3-1)^2}}
\\=\sqrt{4+2\sqrt{3}}=\sqrt{(\sqrt{3}+1)^2}=\sqrt 3+1$