Question

RÚT GỌN: 

\(\sqrt{3}\)+ \(\sqrt{11+6\sqrt{2}}\)-\(\sqrt{5+2\sqrt{6}}\)

 

Answer 1

\(\sqrt{3}+\sqrt{11+6\sqrt{2}}-\sqrt{5+2\sqrt{6}}\)

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

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

\(=3\)

Answer 2

\(\sqrt{3}+\sqrt{11+6\sqrt{2}}-\sqrt{5+2\sqrt{6}}\)

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

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

\(=3\)

(Tíck cho mìk vs nhé!)