5. Выполните вычисления.

1. а) \( \sqrt{25} - \sqrt{49} = 5 - 7 = -2 \); б) \( \sqrt{16} \cdot \sqrt{9} = 4 \cdot 3 = 12 \); в) \( 3\sqrt{4} - \sqrt{36} = 3 \cdot 2 - 6 = 0 \); г) \( \frac{\sqrt{64}}{\sqrt{900}} = \frac{8}{30} = \frac{4}{15} \). 2. а) \( \sqrt{0.36} + \sqrt{0.01} = 0.6 + 0.1 = 0.7 \); б) \( \frac{1}{8} \cdot \sqrt{0.64} - 1 = \frac{1}{8} \cdot 0.8 - 1 = 0.1 - 1 = -0.9 \); в) \( -3\sqrt{0.49} + 2.6 = -3 \cdot 0.7 + 2.6 = -2.1 + 2.6 = 0.5 \); г) \( 0.4 \cdot \sqrt{0.04} = 0.4 \cdot 0.2 = 0.08 \). 3. а) \( (\sqrt{4})^2 - 1.5 = 4-1.5 = 2.5 \); б) \( 7 \cdot \left( \frac{\sqrt{2}}{\sqrt{7}} \right)^2 = 7 \cdot \frac{2}{7} = 2 \); в) \( (\sqrt{0.9})^2 - 0.3 = 0.9 - 0.3 = 0.6 \); г) \( \frac{1}{6} \cdot (\sqrt{12})^2 = \frac{1}{6} \cdot 12 = 2 \). 4. а) \( \sqrt{4^2 + 33} = \sqrt{16 + 33} = \sqrt{49} = 7 \); б) \( \sqrt{4 \cdot 5^2 - 6^2} = \sqrt{4 \cdot 25 - 36} = \sqrt{100 - 36} = \sqrt{64} = 8 \); в) \( \sqrt{3 \cdot (0.4^2 + 0.11)} = \sqrt{3 \cdot (0.16 + 0.11)} = \sqrt{3 \cdot 0.27} = \sqrt{0.81} = 0.9 \); г) \( \sqrt{0.5^2 - 0.3^2} = \sqrt{0.25 - 0.09} = \sqrt{0.16} = 0.4 \).