Ответ:

  1. \(4\sqrt{72}-0.25\sqrt{32}+3\sqrt{200}=24\sqrt2-\sqrt2+30\sqrt2=53\sqrt2\).
  2. \(3\sqrt8-\sqrt{18}+0.5\sqrt{32}=6\sqrt2-3\sqrt2+2\sqrt2=5\sqrt2\).
  3. \(2\sqrt{343}-\frac16\sqrt{252}+3\sqrt7=14\sqrt7-\sqrt7+3\sqrt7=16\sqrt7\).
  4. \(5\sqrt3+0.1\sqrt{30000}-\frac13\sqrt{27}=5\sqrt3+10\sqrt3-\sqrt3=14\sqrt3\).