2. Найдите значение выражения: 1) √(81·16); 2) √(0,09·25); 3) √(0,01·0,04·121); 4) √(30 1/4·49/36); 5) √(6⁴·4²); 6) √((-2)⁶·0,3⁴·(-4)²).

1. \(\sqrt{81\cdot16}=\sqrt{81}\cdot\sqrt{16}=9\cdot4=36\).
2. \(\sqrt{0.09\cdot25}=\sqrt{0.09}\cdot\sqrt{25}=0.3\cdot5=1.5\).
3. \(\sqrt{0.01\cdot0.04\cdot121}=\sqrt{0.01}\cdot\sqrt{0.04}\cdot\sqrt{121}=0.1\cdot0.2\cdot11=0.22\).
4. \(\sqrt{30\frac{1}{4}\cdot\frac{49}{36}}=\sqrt{\frac{121}{4}\cdot\frac{49}{36}}=\sqrt{\frac{121\cdot49}{4\cdot36}}=\frac{11\cdot7}{2\cdot6}=\frac{77}{12}=6\frac{5}{12}\).
5. \(\sqrt{6^4\cdot4^2}=\sqrt{(6^2)^2\cdot4^2}=6^2\cdot4=144\).
6. \(\sqrt{(-2)^6\cdot0.3^4\cdot(-4)^2}=\sqrt{(2^3)^2\cdot(0.3^2)^2\cdot4^2}=8\cdot0.09\cdot4=2.88\).

Ответ: 1) 36; 2) 1,5; 3) 0,22; 4) \(6\frac{5}{12}\); 5) 144; 6) 2,88.