\(A=\left(\sqrt{2}-8\sqrt{32}+2\sqrt{450}\right):\left(-3\sqrt{8}\right)\)
\(=\left(\sqrt{2}-32\sqrt{2}+30\sqrt{2}\right):\left(-6\sqrt{2}\right)\)
\(=\sqrt{2}\left[\left(1-32+30\right):\left(-6\right)\right]\)
\(=\sqrt{2}\left[\left(-1\right):\left(-6\right)\right]\)
\(=\sqrt{2}.\dfrac{1}{6}\)
\(=\dfrac{\sqrt{2}}{6}\)