\[\boxed{\text{484}\text{\ (484)}\text{.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ неверно:\]
\[\sqrt{2} + \left( - \sqrt{2} \right) = 0.\]
\[2)\ неверно:\]
\[\sqrt{2} \cdot \sqrt{2} = \left( \sqrt{2} \right)^{2} = 2.\]
\[3)\ неверно:\]
\[\sqrt{2} \cdot 0 = 0.\ \]
\[\boxed{\text{4}\text{8}\text{4}\text{.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[f(x) = \frac{5}{x^{2} - 4x} + \frac{7}{x^{2} - 16} =\]
\[= \frac{5}{x(x - 4)} + \frac{7}{(x - 4)(x + 4)}\]
\[x \neq 0;\ \ x \neq \pm 4.\]
\[D(y) =\]
\[= ( - \infty; - 4) \cup ( - 4;0) \cup (0;4) \cup (4; + \infty).\]