\[\boxed{\mathbf{564\ \ (564).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ \sqrt{- m^{19}} = \left| m^{9} \right|\sqrt{- m} =\]
\[= {- m}^{9}\sqrt{- m}\]
\[2)\ \sqrt{a^{23}b^{24}} = a^{11}b^{12}\sqrt{a}\]
\[3)\ \sqrt{49a^{2}b} = 7|a|\sqrt{b} = - 7a\sqrt{b};\ \ \]
\[a < 0\]
\[4)\ \sqrt{a^{9}b^{9}} = a^{4}b^{4}\sqrt{\text{ab}}\]
\[5)\ \sqrt{27x^{15}y^{34}} = - 3x^{7}y^{17}\sqrt{3x};\ \ \]
\[y < 0\]
\[6)\ \sqrt{- 50m^{6}n^{6}p^{7}} =\]
\[= - 5m^{3}n^{3}p^{3}\sqrt{- 2p};\ \ m > 0,\]
\[n > 0\]