0.1. Найдите значения выражений: 1) 0,5√256; 2) −5√0,64; 3) 0,3√(25/9); 4) √0,16/(2√0,04); 5) √4900−√289; 6) 0,07√10000−√36; 7) √81/√361+√(1/4); 8) √(1 9/16)+√(121/25); 9) √(2 7/81)−1/√36.

1. \(0.5\sqrt{256}=0.5\cdot16=8\).
2. \(-5\sqrt{0.64}=-5\cdot0.8=-4\).
3. \(0.3\sqrt{\frac{25}{9}}=0.3\cdot\frac{5}{3}=0.5\).
4. \(\frac{\sqrt{0.16}}{2\sqrt{0.04}}=\frac{0.4}{2\cdot0.2}=1\).
5. \(\sqrt{4900}-\sqrt{289}=70-17=53\).
6. \(0.07\sqrt{10000}-\sqrt{36}=0.07\cdot100-6=1\).
7. \(\frac{\sqrt{81}}{\sqrt{361}}+\sqrt{\frac14}=\frac9{19}+\frac12=\frac{37}{38}\).
8. \(\sqrt{1\frac9{16}}+\sqrt{\frac{121}{25}}=\frac54+\frac{11}{5}=\frac{69}{20}=3\frac9{20}\).
9. \(\sqrt{2\frac7{81}}-\frac1{\sqrt{36}}=\sqrt{\frac{169}{81}}-\frac16=\frac{13}{9}-\frac16=\frac{23}{18}=1\frac5{18}\).

Ответ: 1) 8; 2) −4; 3) 0,5; 4) 1; 5) 53; 6) 1; 7) \(37/38\); 8) \(3\frac9{20}\); 9) \(1\frac5{18}\).