Question

Rút gọn biểu thức

\(\sqrt{15-6\sqrt{6}}+\sqrt{33-12\sqrt{6}}\)

Answer 1

\(\sqrt{15-6\sqrt{6}}+\sqrt{33-12\sqrt{6}}\)

\(=\sqrt{\left(3-\sqrt{6}\right)^2}+\sqrt{\left(2\sqrt{6}-3\right)^2}\)

\(=3-\sqrt{6}+2\sqrt{6}-3=\sqrt{6}\)