Trả lời:
\(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}\)
\(=\sqrt{9-6\sqrt{6}+6}+\sqrt{27-12\sqrt{6}+8}\)
\(=\sqrt{\left(3-\sqrt{6}\right)^2}+\sqrt{\left(3\sqrt{3}-2\sqrt{2}\right)^2}\)
\(=3-\sqrt{6}+3\sqrt{3}-2\sqrt{2}\)
Bài làm:
Ta có: \(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}\)
\(=\sqrt{9-6\sqrt{6}+6}+\sqrt{36-12\sqrt{6}+6-7}\)
\(=\sqrt{\left(3-\sqrt{6}\right)^2}+\sqrt{\left(6-\sqrt{6}\right)^2-7}\)
\(=3-\sqrt{6}+\sqrt{\left(-1-\sqrt{6}\right)\left(13-\sqrt{6}\right)}\)
Đến đây thì chịu rồi!
