Решение:

1) $$(\sqrt{11})^2 - \sqrt{1,44} = 11 - 1,2 = 9,8$$

2) $$(2\sqrt{13})^2 - (5\sqrt{8})^2 = 4 \cdot 13 - 25 \cdot 8 = 52 - 200 = -148$$

3) $$14 \cdot (-\frac{1}{7}\sqrt{15})^2 - \frac{1}{8} = 14 \cdot \frac{1}{49} \cdot 15 - \frac{1}{8} = \frac{14 \cdot 15}{49} - \frac{1}{8} = \frac{2 \cdot 15}{7} - \frac{1}{8} = \frac{30}{7} - \frac{1}{8} = \frac{30 \cdot 8 - 1 \cdot 7}{56} = \frac{240 - 7}{56} = \frac{233}{56}$$

4) $$\sqrt{529} - (\frac{1}{2}\sqrt{84})^2 = 23 - \frac{1}{4} \cdot 84 = 23 - 21 = 2$$

Ответ:

• 1) 9,8
• 2) -148
• 3) $$\frac{233}{56}$$
• 4) 2