3. Вычислите: √6 ⋅ 50 ⋅ √12.

$$\sqrt{6} \cdot 50 \cdot \sqrt{12} = 50 \cdot \sqrt{6 \cdot 12} = 50 \cdot \sqrt{72} = 50 \cdot \sqrt{36 \cdot 2} = 50 \cdot 6 \cdot \sqrt{2} = 300\sqrt{2}$$

Ответ: $$300\sqrt{2}$$