Question

Tính:

\(\sqrt{15-\sqrt{216}}+\sqrt{33-12\sqrt{6}}\)

Answer 1

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

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

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

\(=\sqrt{6}\)

Answer 2

\(\sqrt{15-\sqrt{216}}\)+\(\sqrt{33-12\sqrt{6}}\)

=\(\sqrt{9-2.3.\sqrt{6}+6}\)+\(\sqrt{24-2.3.2.\sqrt{6}+9}\)

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

=/3-√6/+/2√6-3/

=3-\(\sqrt{6}\)+2\(\sqrt{6}\) -3=\(\sqrt{6}\) CHÚC BẠN THÀNH CÔNG