Đáp án:
Giải thích các bước giải:
$2,\sqrt{(5-2\sqrt{6})^2}-\sqrt{(5+2\sqrt{6})^2}\\=|5-2\sqrt{6}|-|5+2\sqrt{6}|\\=5-2\sqrt{6}-5-2\sqrt{6}\\=-4\sqrt{6}\\3,\sqrt{(2-\sqrt{3})^2}+\sqrt{(1-\sqrt{3})^2}\\=|2-\sqrt{3}|+|1-\sqrt{3}|\\=2-\sqrt{3}+\sqrt{3}-1\\=1\\4,\sqrt{(3+\sqrt{2})^2}-\sqrt{(1-\sqrt{2})^2}\\=|3+\sqrt{2}|-|1-\sqrt{2}|\\=3+\sqrt{2}-\sqrt{2}+1\\=4\\5,\sqrt{(\sqrt{3}\sqrt{2})^2}+\sqrt{(\sqrt{5}+\sqrt{2})^2}\\=\sqrt{3}-\sqrt{2}+\sqrt{5}+\sqrt{2}\\=\sqrt{3}+\sqrt{5}\\6,\sqrt{(\sqrt{2}+1)^2}-\sqrt{(\sqrt{2}-5)^2}\\=\sqrt{2}+1-5+\sqrt{2}\\=2\sqrt{2}-4$
