\(2\sqrt{8}-\sqrt{50}+\sqrt{\left(\sqrt{2}+1\right)^2}=2\sqrt{4.2}-\sqrt{25.2}+\left|\sqrt{2}+1\right|=2.2\sqrt{2}-5\sqrt{2}+\sqrt{2}+1=4\sqrt{2}-5\sqrt{2}+\sqrt{2}+1=1\)
\(2\sqrt{8}-\sqrt{50}+\sqrt{2}+1\)
\(4\sqrt{2}-5\sqrt{2}+\sqrt{2}+1\)
\(=1\)