Ответ:

  1. \(0,2\sqrt{4900}=0,2\cdot70=14\).
  2. \(100\sqrt{0,04}-\frac{1}{17}\sqrt{289}=100\cdot0,2-\frac{17}{17}=20-1=19\).
  3. \(\frac{7}{8}\sqrt{1\frac{15}{49}}=\frac{7}{8}\sqrt{\frac{64}{49}}=\frac{7}{8}\cdot\frac{8}{7}=1\).
  4. \(\sqrt{361}-10\sqrt{2,89}=19-10\cdot1,7=2\).
  5. \(3,6\sqrt{0,25}+\frac{1}{32}\sqrt{256}=3,6\cdot0,5+\frac{16}{32}=1,8+0,5=2,3\).
  6. \(8\sqrt{5\frac{1}{16}+3}=8\sqrt{\frac{81}{16}}=8\cdot\frac{9}{4}=18\).

Ответ: 1) 14; 2) 19; 3) 1; 4) 2; 5) 2,3; 6) 18.