Rozwiązanie:
[tex](\sqrt{2}+1 )^{2} =2+2\sqrt{2} +1=3+2\sqrt{2}\\ (\sqrt{5} +\sqrt{3} )^{2} =5+2\sqrt{15}+3=8+2\sqrt{12}\\ (2\sqrt{7}+4 )^{2} =28+16\sqrt{7}+16=44+16\sqrt{7}\\ (\sqrt{3}-2 )^{2} =3-4\sqrt{3}+4=7-4\sqrt{3}\\ (\sqrt{11} -\sqrt{6} )^2=11-2\sqrt{66}+6=17- 2\sqrt{66}\\ (\frac{1}{2}\sqrt{3}-4\sqrt{5} )^2=\frac{3}{4}-4\sqrt{15} +80=\frac{323}{4}-4\sqrt{15} \\(\sqrt{2}- 5)(\sqrt{2}+5) =2-25=-23\\(\sqrt{3} -\sqrt{2} )(\sqrt{3} +\sqrt{2} )=3-2=1\\(3\sqrt{5}+4)(3\sqrt{5}-4) =45-16=29[/tex]
