а) [tex]( \sqrt{3} - \sqrt{5} ) {}^{2} = (\sqrt{3})^2 - 2\sqrt{15} + (\sqrt{5})^2 = 3 - 2\sqrt{15} + 5 = 8 - 2\sqrt{15}[/tex]
б) [tex](3 \sqrt{5} - 2) {}^{2} = (3\sqrt{5})^2 - 2(3\sqrt{5}) + 2^2 = 45 - 6\sqrt{5} + 4 = 49 - 6\sqrt{5}[/tex]
в) [tex](2 \sqrt{3} + 3 \sqrt{2} ) {}^{2} = (2\sqrt{3})^2 + 2(2\sqrt{3})(3\sqrt{2}) + (3\sqrt{2})^2 = 12 + 12\sqrt{6} + 18 = 30 + 12\sqrt{6}[/tex]
а) [tex]( \sqrt{3} - \sqrt{5} ) {}^{2} = (\sqrt{3})^2 - 2\sqrt{15} + (\sqrt{5})^2 = 3 - 2\sqrt{15} + 5 = 8 - 2\sqrt{15}[/tex]
б) [tex](3 \sqrt{5} - 2) {}^{2} = (3\sqrt{5})^2 - 2(3\sqrt{5}) + 2^2 = 45 - 6\sqrt{5} + 4 = 49 - 6\sqrt{5}[/tex]
в) [tex](2 \sqrt{3} + 3 \sqrt{2} ) {}^{2} = (2\sqrt{3})^2 + 2(2\sqrt{3})(3\sqrt{2}) + (3\sqrt{2})^2 = 12 + 12\sqrt{6} + 18 = 30 + 12\sqrt{6}[/tex]