Ответ:

  1. \(0{,}5\sqrt{1600}-\dfrac13\sqrt{36}=0{,}5\cdot40-\dfrac13\cdot6=20-2=18\).
  2. \(\sqrt{0{,}25\cdot81}=\sqrt{20{,}25}=4{,}5\).
  3. \(\sqrt{6^2\cdot2^8}=6\cdot2^4=6\cdot16=96\).
  4. \(\sqrt{20}\cdot\sqrt5-\dfrac{\sqrt{63}}{\sqrt7}=\sqrt{100}-\sqrt9=10-3=7\).

Ответ: 1) 18; 2) 4,5; 3) 96; 4) 7.