\[\boxed{\mathbf{551\ (551).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ 0,5\sqrt{12} - 3\sqrt{27} + 0,4\sqrt{75} =\]
\[= \sqrt{3} - 9\sqrt{3} + 2\sqrt{3} = - 6\sqrt{3};\]
\[= 5\sqrt{7b} + 2\sqrt{7b} - \sqrt{7b} = 6\sqrt{7b};\]
\[3)\ \sqrt{81a^{7}} - 5a^{3}\sqrt{a} + \frac{6}{a}\sqrt{a^{9}} =\]
\[= 9a^{3}\sqrt{a} - 5a^{3}\sqrt{a} + 6a^{3}\sqrt{a} =\]
\[= 10a^{3}\sqrt{a}.\]