\[\boxed{\text{367\ (367).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ \sqrt{( - 9)^{2}} = \sqrt{9^{2}} = 9;\ \ \ да\]
\[\textbf{б)}\ \left( \sqrt{- 9} \right)^{2};\ \ \ \ - 9 < 0;\ \ \ \ нет\]
\[\textbf{в)} - \sqrt{9^{2}} = - 9;\ \ \ \ да\]
\[\textbf{г)} - \sqrt{( - 9)^{2}} = - \sqrt{9^{2}} = - 9;\ \ \ \ \ \]
\[да\]