Ответ:

  1. \(0.2\sqrt{4900}=0.2\cdot70=14\).
  2. \(100\sqrt{0.04}-\frac{1}{17}\sqrt{289}=100\cdot0.2-\frac{1}{17}\cdot17=20-1=19\).
  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. \(8\sqrt{5\frac{1}{16}}+3=8\sqrt{\frac{81}{16}}+3=8\cdot\frac{9}{4}+3=21\).

Ответ: 1) 14; 2) 19; 3) 1; 4) 2; 5) 2,3; 6) 21.