Question

Rút gọn : \(\sqrt{27-8\sqrt{11}}\) + \(\sqrt{11}\)

Answer 1

\(=\sqrt{16-2.4.\sqrt{11}+11}+\sqrt{11}=4-\sqrt{11}+\sqrt{11}=4\)

Answer 2

\(\sqrt{27-8\sqrt{11}}+\sqrt{11}=\sqrt{16-2\cdot4\cdot\sqrt{11}+11}+\sqrt{11}=\sqrt{\left(4-\sqrt{11}\right)^2}+\sqrt{11}=4-\sqrt{11}+\sqrt{11}=4\)