Ответ:

  1. \((\sqrt{4})^2-1.5=4-1.5=2.5\).
  2. \(7\cdot(\sqrt{\frac{2}{7}})^2=7\cdot\frac{2}{7}=2\).
  3. \((\sqrt{0.9})^2-0.3=0.9-0.3=0.6\).
  4. \(\frac{1}{6}\cdot(\sqrt{12})^2=\frac{1}{6}\cdot12=2\).
  5. \(\sqrt{4^2+33}=\sqrt{16+33}=\sqrt{49}=7\).
  6. \(\sqrt{4\cdot5^2-6^2}=\sqrt{4\cdot25-36}=\sqrt{64}=8\).
  7. \(\sqrt{3(0.4^2+0.11)}=\sqrt{3(0.16+0.11)}=\sqrt{0.81}=0.9\).
  8. \(\sqrt{0.5^2-0.3^2}=\sqrt{0.25-0.09}=\sqrt{0.16}=0.4\).

Ответ: 1) 2,5; 2) 2; 3) 0,6; 4) 2; 5) 7; 6) 8; 7) 0,9; 8) 0,4.