Ответ:

  1. \(\sqrt{16}+9=4+9=13\).
  2. \(\sqrt{16}+\sqrt{9}=4+3=7\).
  3. \(\sqrt{36}-\sqrt{49}=6-7=-1\).
  4. \(\sqrt{36}\cdot\sqrt{49}=6\cdot7=42\).
  5. \(5\sqrt{4}-\sqrt{25}=5\cdot2-5=5\).
  6. \(\sqrt{0.81}+\sqrt{0.01}=0.9+0.1=1\).
  7. \(\frac{1}{3}\sqrt{0.09}-2=\frac{1}{3}\cdot0.3-2=0.1-2=-1.9\).
  8. \(-2\sqrt{0.16}+0.7=-2\cdot0.4+0.7=-0.1\).
  9. \((\sqrt{13})^2-3(\sqrt{8})^2=13-3\cdot8=-11\).
  10. \(\frac{1}{6}(\sqrt{18})^2-\left(\frac{1}{2}\sqrt{24}\right)^2=\frac{18}{6}-\frac{24}{4}=3-6=-3\).
  11. \(50\left(-\frac{1}{5}\sqrt{2}\right)^2=50\cdot\frac{2}{25}=4\).
  12. \(\sqrt{4\cdot5^2-6^2}=\sqrt{100-36}=\sqrt{64}=8\).

Ответ: 1) 13; 2) 7; 3) −1; 4) 42; 5) 5; 6) 1; 7) −1,9; 8) −0,1; 9) −11; 10) −3; 11) 4; 12) 8.