0\; . " alt=" \sqrt{(9-6\sqrt3)^2}-\sqrt{(10-4\sqrt3)^2}+(5-\sqrt3)^2=\\\\=|9-6\sqrt3|-|10-4\sqrt3|+25-10\sqrt3+3=\\\\=6\sqrt3-9-(10-4\sqrt3)+28-10\sqrt3=\\\\=10\sqrt3-9-10+28-10\sqrt3=9\\\\\\\star \; \; |9-6\sqrt3|=6\sqrt3-9\; ,\; t.k.\; (9-6\sqrt3)<0\; ;\\\\\star \; \; |10-4\sqrt3|=10-4\sqrt3\; ,\; t.k.\; (10-4\sqrt3)>0\; . " align="absmiddle" class="latex-formula">