Упрости выражение

1. \(\sqrt{\sqrt{82}-1}\cdot \sqrt{\sqrt{82}+1}=\sqrt{(\sqrt{82}-1)(\sqrt{82}+1)}=\) [ ];

2. \(\sqrt{\sqrt{58}+\sqrt{33}}\cdot \sqrt{\sqrt{58}-\sqrt{33}}=\) [ ];

3. \((\sqrt{2}+3)^2-(5-2\sqrt{2})^2=(\sqrt{2})^2+2\cdot 3\cdot \sqrt{2}+3^2-(5^2-2\cdot 5\cdot 2\sqrt{2}+(2\sqrt{2})^2)=\) [ ];

4. \((4+3\sqrt{6})^2+(4-3\sqrt{6})^2=\) [ ];

5. \((16+6\sqrt{7})(3-\sqrt{7})^2=(16+6\sqrt{7})(3^2-2\cdot 3\cdot \sqrt{7}+(\sqrt{7})^2)=\) [ ];

6. \((7-2\sqrt{10})(\sqrt{5}+\sqrt{2})^2=\) [ ];

7. \((\sqrt{12-2\sqrt{11}}+\sqrt{12+2\sqrt{11}})^2=(\sqrt{12-2\sqrt{11}})^2+2\cdot \sqrt{(12-2\sqrt{11})(12+2\sqrt{11})}+(\sqrt{12+2\sqrt{11}})^2=\) [ ];

8. \((\sqrt{9+3\sqrt{5}}-\sqrt{9-3\sqrt{5}})^2=\) [ ].