1: \(=\left(\sqrt{2012}-1\right)\left(\sqrt{2012}+1\right)=2012-1=2011\)
2: \(=2+\sqrt{3}-2+\sqrt{3}=2\sqrt{3}\)
4: \(=3\sqrt{2}-\sqrt{3}+3\sqrt{2}-\sqrt{3}=6\sqrt{2}\)
7: \(=\sqrt{13+30\cdot\sqrt{2+2\sqrt{2}+1}}\)
\(=\sqrt{13+30\left(\sqrt{2}+1\right)}=\sqrt{43+30\sqrt{2}}\)