1. Найдите значение выражения: 1) \(0{,}5\sqrt{8100}-\frac14\sqrt{64}\); 2) \(\sqrt{0{,}49\cdot25}\); 3) \(\sqrt{5^6\cdot2^2}\); 4) \(\sqrt{18}\cdot\sqrt2-\frac{\sqrt{27}}{\sqrt3}\).

1. \(0{,}5\sqrt{8100}-\frac14\sqrt{64}=0{,}5\cdot90-\frac14\cdot8=45-2=43.\)
2. \(\sqrt{0{,}49\cdot25}=\sqrt{12{,}25}=3{,}5.\)
3. \(\sqrt{5^6\cdot2^2}=5^3\cdot2=125\cdot2=250.\)
4. \(\sqrt{18}\cdot\sqrt2-\frac{\sqrt{27}}{\sqrt3}=\sqrt{36}-\sqrt9=6-3=3.\)

Ответ: 1) 43; 2) 3,5; 3) 250; 4) 3.