Question

Thu gọn các biểu thức sau:

D= \(\sqrt{4+2\sqrt{3}}+\sqrt{7-4\sqrt{3}}-\sqrt{6\sqrt{3}+12}\)

Answer 1

\(D=\sqrt{3+2\sqrt{3}+1}+\sqrt{4-2\cdot2\sqrt{3}+3}-\sqrt{9+2\cdot3\cdot\sqrt{3}+3}\)

\(D=\sqrt{\left(\sqrt{3}+1\right)^2}+\sqrt{\left(2-\sqrt{3}\right)^2}-\sqrt{\left(3+\sqrt{3}\right)^2}\)

\(D=\sqrt{3}+1+2-\sqrt{3}-3-\sqrt{3}\)

\(D=-\sqrt{3}\)