Ответ:
- \(\sqrt{13^2-12^2}=\sqrt{(13-12)(13+12)}=\sqrt{25}=5\).
- \(\sqrt{21.8^2-18.2^2}=\sqrt{3.6\cdot40}=\sqrt{144}=12\).
- \(\sqrt{313^2-312^2}=\sqrt{1\cdot625}=25\).
- \(\sqrt{17^2-64}=\sqrt{289-64}=\sqrt{225}=15\).
- \(\sqrt{45.8^2-44.2^2}=\sqrt{1.6\cdot90}=\sqrt{144}=12\).
- \(\sqrt{117^2-108^2}=\sqrt{9\cdot225}=\sqrt{2025}=45\).
- \(\sqrt{6.8^2-3.2^2}=\sqrt{3.6\cdot10}=\sqrt{36}=6\).
- \(\sqrt{(2\frac{3}{5})^2-(2\frac{2}{5})^2}=\sqrt{0.2\cdot5}=\sqrt1=1\).
Ответ: 1) 5; 2) 12; 3) 25; 4) 15; 5) 12; 6) 45; 7) 6; 8) 1.
