1: Ta có: \(\sqrt{5-2\sqrt{6}}+\sqrt{5+2\sqrt{6}}\)
\(=\sqrt{3}-\sqrt{2}+\sqrt{3}+\sqrt{2}\)
\(=2\sqrt{3}\)
2: Ta có: \(\sqrt{7-2\sqrt{10}}-\sqrt{7+2\sqrt{10}}\)
\(=\sqrt{5}-\sqrt{2}-\sqrt{5}-\sqrt{2}\)
\(=-2\sqrt{2}\)
3: Ta có: \(\sqrt{7+2\sqrt{6}}-\sqrt{7-2\sqrt{6}}\)
\(=\sqrt{6}+1-\sqrt{6}+1\)
=2
4: Ta có: \(\sqrt{12-2\sqrt{11}}-\sqrt{12+2\sqrt{11}}\)
\(=\sqrt{11}-1-\sqrt{11}-1\)
=-2