Опростете израза

[wenci]

1) [tex]\frac{\sqrt{2}}{\sqrt{3+2\sqrt{2}}} - \frac{\sqrt{6-4\sqrt{2}}}{2\sqrt{2}-3}[/tex]
2) [tex]\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}[/tex]

[Xixibg]

1.[tex]\frac{\sqrt{2}}{\sqrt{3+\sqrt{2}}}-\frac{\sqrt{6-4\sqrt{2}}}{2\sqrt{2}-3}[/tex]

[tex]\frac{\sqrt{2}\sqrt{2}}{\sqrt{2}\sqrt{3+\sqrt{2}}}-\frac{(\sqrt{2-\sqrt{2}})^2}{2\sqrt{2}-3}[/tex]

[tex]\frac{2}{\sqrt{6+2\sqrt{2}}}-\frac{({2-\sqrt{2})(2\sqrt{2}+3)}}{(2\sqrt{2}-3)(2\sqrt{2}+3)}[/tex]

[tex]\frac{2}{(\sqrt{2+\sqrt{2}})^2}+2+\sqrt{2}[/tex]

[tex]\frac{2(2-\sqrt{2})}{(2-\sqrt{2})(2+\sqrt{2})}+2+\sqrt{2}[/tex]

[tex]2-\sqrt{2}+2+\sqrt{2}=4[/tex]