[tex]a) \\(\sqrt2-2)^2=(\sqrt2)^2-2*\sqrt2*2+2^2=2-4\sqrt2+4=6-4\sqrt2\\\\b) \\(4\sqrt3-7)^2=(4\sqrt3)^2-2*4\sqrt3*7+7^2=48-56\sqrt3+49=97-56\sqrt3\\\\c) \\(11-5\sqrt2)^2=11^2-2*11*5\sqrt2+(5\sqrt2)^2=121-110\sqrt2+50=171-110\sqrt2\\\\d) \\(2\sqrt2-2\sqrt6)^2=(2\sqrt2)^2-2*2\sqrt2*2\sqrt6+(2\sqrt6)^2=8-8\sqrt{12}+24=32-8\sqrt{12}=32-8\sqrt{4*2}=32-16\sqrt2[/tex]
