[tex]\it 1)\ \sqrt{3+2\sqrt2} = \sqrt{2+1+2\sqrt2} =\sqrt{2+2\sqrt2+1}=\sqrt{(\sqrt2)^2+2\sqrt2+1^2} =\\ \\ =\sqrt{(\sqrt2+1)^2}=|\sqrt2+1| =\sqrt2+1\\ \\ \\ 2)\ \sqrt{11-6\sqrt2}= \sqrt{2+9-6\sqrt2} = \sqrt{2-6\sqrt2+9}=\sqrt{(\sqrt2)^2-6\sqrt2+3^2}=\\ \\ =\sqrt{(\sqrt2-3)^2}=|\sqrt2-3|=-\sqrt2+3=3-\sqrt2[/tex]