Ответ:

  1. \(\sqrt{4^3+2^3\cdot10}=\sqrt{64+80}=\sqrt{144}=12\).
  2. \(\sqrt{5^3+2^3\cdot7}=\sqrt{125+56}=\sqrt{181}\).
  3. \(\sqrt{64}\cdot\sqrt{100}\cdot\sqrt{0.16}=8\cdot10\cdot0.4=32\).
  4. \(2\sqrt{0.81}+\sqrt{0.04}=2\cdot0.9+0.2=2\).
  5. \(3\sqrt{25}-\frac{2}{3}\sqrt{81}=3\cdot5-\frac{2}{3}\cdot9=9\).
  6. \(\frac14\sqrt{\frac{16}{25}}+7\sqrt{0.09}=\frac14\cdot\frac45+7\cdot0.3=2.3\).
  7. \(6\sqrt{1\frac{13}{36}}-7\sqrt{2\frac{2}{49}}=6\cdot\frac76-7\cdot\frac{10}{7}=7-10=-3\).
  8. \(\frac15\sqrt{1\frac{9}{16}}-\frac23\sqrt{1\frac{17}{64}}=\frac15\cdot\frac54-\frac23\cdot\frac98=\frac14-\frac34=-\frac12\).

Ответ: 12; √181; 32; 2; 9; 2,3; −3; −1/2.