Oblicz 1. [latex][ sqrt{2- sqrt{3}}- sqrt{2+ sqrt{3} } ]^{2} = [/latex]

[latex][ sqrt{2- sqrt{3}}- sqrt{2+ sqrt{3} } ]^{2} =[/latex] [latex]2- sqrt{3}-2 cdot sqrt{2- sqrt{3}} cdot sqrt{2+ sqrt{3} } +2+ sqrt{3} =[/latex] [latex]4-2 cdot sqrt{(2- sqrt{3}) cdot(2+ sqrt{3}) } =[/latex] [latex]4-2 cdot sqrt{4-3} =4-2 cdot sqrt{1} =4-2 =2[/latex]