Ответ:

  1. а) \(\frac12\sqrt{24}=\frac12\cdot2\sqrt6=\sqrt6\).
  2. б) \(\frac23\sqrt{45}=\frac23\cdot3\sqrt5=2\sqrt5\).
  3. в) \(-\frac17\sqrt{147}=-\frac17\cdot7\sqrt3=-\sqrt3\).
  4. г) \(-\frac15\sqrt{275}=-\frac15\cdot5\sqrt{11}=-\sqrt{11}\).
  5. д) \(0{,}1\sqrt{20\,000}=0{,}1\cdot100\sqrt2=10\sqrt2\).
  6. е) \(-0{,}05\sqrt{28\,800}=-0{,}05\cdot120\sqrt2=-6\sqrt2\).