2. Найдите значение выражения: a) √0,25⋅64; б) √56⋅√14; в) √3⁴⋅2⁶; г) $$\frac{\sqrt{8}}{\sqrt{2}} \cdot \frac{7}{8} \cdot \sqrt{\frac{15}{49}}$$.

а) √0,25⋅64 = √0,25 ⋅ √64 = 0,5 ⋅ 8 = 4 б) √56⋅√14 = √(4⋅14)⋅√14 = 2√14⋅√14 = 2 ⋅ 14 = 28 в) √3⁴⋅2⁶ = √3⁴ ⋅ √2⁶ = 3² ⋅ 2³ = 9 ⋅ 8 = 72 г) $$\frac{\sqrt{8}}{\sqrt{2}} \cdot \frac{7}{8} \cdot \sqrt{\frac{15}{49}} = \sqrt{\frac{8}{2}} \cdot \frac{7}{8} \cdot \frac{\sqrt{15}}{7} = \sqrt{4} \cdot \frac{7}{8} \cdot \frac{\sqrt{15}}{7} = 2 \cdot \frac{\sqrt{15}}{8} = \frac{\sqrt{15}}{4}$$ Ответ: а) 4; б) 28; в) 72; г) $$\frac{\sqrt{15}}{4}$$