Đáp án+Giải thích các bước giải:
`\sqrt{\frac{2}{2-\sqrt{3}}}-\sqrt{\frac{2}{2+\sqrt{3}}}`
`=\sqrt{\frac{4}{4-2\sqrt{3}}}-\sqrt{\frac{4}{4+2\sqrt{3}}}`
`=\sqrt{\frac{4}{(\sqrt{3}-1)^2}}-\sqrt{\frac{4}{(\sqrt{3}+1)^2}}`
`=\frac{2}{|\sqrt{3}-1|}-\frac{2}{|\sqrt{3}+1|}`
`=\frac{2}{\sqrt{3}-1}-\frac{2}{\sqrt{3}+1}`
`=\frac{2\sqrt{3}+2-2\sqrt{3}+2}{(\sqrt{3}-1)(\sqrt{3}+1)}`
`=\frac{4}{3-1}`
`=\frac{4}{2}`
`=2`