a) [tex]A=\sqrt{4+\sqrt{15}}-\sqrt{4-\sqrt{15}}\\ \Rightarrow \sqrt{2}A=\sqrt{8+2\sqrt{15}}-\sqrt{8-2\sqrt{15}}\\ \sqrt{2}A=(\sqrt{3}+\sqrt{5})-(\sqrt{5}-\sqrt{3})=2\sqrt{3}\\ \Rightarrow A=\sqrt{6}[/tex]
b) ĐKXĐ: ..........
[tex]\sqrt{x-2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=\sqrt{x-1-2\sqrt{x-1}+1}+\sqrt{x-1-2\sqrt{x-1}+1}\\ =|\sqrt{x-1}+1|+|\sqrt{x-1}+1|[/tex]
Đến đó bạn tự giải tiếp nha