Ответ:

  1. \(\frac1{50}\sqrt{50}=\sqrt{\frac{50}{2500}}=\sqrt{0.02}\).
  2. \(\frac23\sqrt{12}=\sqrt{\frac49\cdot12}=\sqrt{\frac{16}{3}}\).
  3. \(-\frac16\sqrt{15}=-\sqrt{\frac{15}{36}}=-\sqrt{\frac5{12}}\).
  4. \(-\frac34\sqrt{48}=-\sqrt{\frac9{16}\cdot48}=-\sqrt{27}\).

Ответ: 1) \(\sqrt{0,02}\); 2) \(\sqrt{\frac{16}{3}}\); 3) \(-\sqrt{\frac5{12}}\); 4) \(-\sqrt{27}\).