Đặt \(A=\sqrt{9-2\sqrt{18}}+\sqrt{9+2\sqrt{18}}\)
=> \(A^2=9-2\sqrt{18}+2\sqrt{9-2\sqrt{18}}\cdot\sqrt{9+2\sqrt{18}}+9+2\sqrt{18}\)
\(=18+2\sqrt{9-2\sqrt{18}}\cdot\sqrt{9+2\sqrt{18}}\)
\(=18+2\sqrt{\left(9-2\sqrt{18}\right)\left(9+2\sqrt{18}\right)}\)
\(=18+2\sqrt{9^2-\left(2\sqrt{18}\right)^2}\)
\(=18+2\sqrt{81-72}\)
\(=18+6=24\)
=> \(A=\sqrt{24}\)