\[\boxed{\mathbf{565\ (565).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ a\sqrt{3} = \sqrt{3a^{2}}\]
\[2)\ b\sqrt{- b} = \sqrt{- b^{3}}\]
\[3)\ c\sqrt{c^{5}} = \sqrt{c^{7}}\ \]
\[4)\ m\sqrt{n} = \sqrt{m^{2}n};\ \ m \geq 0\]
\[5)\ xy²\sqrt{\text{xy}} = - \sqrt{x^{3}y^{5}}\]
\[6)\ 2p\sqrt{\frac{p}{2}} = \sqrt{\frac{4p^{3}}{2}} = \sqrt{2p^{3}}\]
\[7)\ 2p\sqrt{- \frac{p}{2}} = - \sqrt{- 2p^{3}}\ \]
\[8)\ ab²\sqrt{\frac{a}{b}} = \sqrt{a^{3}b^{3}},\ \ a \geq 0\]