\(\sqrt{4+\sqrt{7}}-\sqrt{4-\sqrt{7}}-\sqrt{2}\)

\(\sqrt{2}\times\sqrt{2-\sqrt{3}}\times\left(\sqrt{3}+1\right)\)

\(\left(4+\sqrt{15}\right)\times\left(\sqrt{10}-\sqrt{6}\right)\times\sqrt{4-\sqrt{15}}\)

\(\sqrt{3+4\sqrt{10+4\sqrt{6}}}\)

\(\sqrt{2-\sqrt{3}+\sqrt{2+\sqrt{3}}}\)

\(\sqrt{3-\sqrt{5}}-\sqrt{3+\sqrt{5}}\)

\(\sqrt{2-2\sqrt{9-4\sqrt{5}}}\)

\(\dfrac{\sqrt{10+3\sqrt{11}}}{2\sqrt{2}}\)

\(\dfrac{\sqrt{4+\sqrt{7}}}{\sqrt{2}}\)