a. \(\left(\sqrt{18}+\sqrt{32}-\sqrt{50}\right).\sqrt{2}=\sqrt{18}.\sqrt{2}+\sqrt{32}.\sqrt{2}-\sqrt{50}.\sqrt{2}=6+8-10=4\)
a: \(\left(\sqrt{18}+\sqrt{32}-\sqrt{50}\right)\cdot\sqrt{2}\)
\(=\left(3\sqrt{2}+4\sqrt{2}-5\sqrt{2}\right)\cdot\sqrt{2}\)
\(=2\sqrt{2}\cdot\sqrt{2}=8\)
b: \(\sqrt{50}-\sqrt{18}+\sqrt{200}-\sqrt{162}\)
\(=5\sqrt{2}-3\sqrt{2}+10\sqrt{2}-9\sqrt{2}\)
\(=3\sqrt{2}\)
b. \(\sqrt{50}-\sqrt{18}+\sqrt{200}-\sqrt{162}=5\sqrt{2}-3\sqrt{2}+10\sqrt{2}-9\sqrt{2}=\sqrt{2}.\left(5-3+10\right)=12\sqrt{2}\)
