Вычислите: a) $$\sqrt{0,25 \cdot 36}$$ b) $$\sqrt{6 \cdot 24}$$ v) $$\frac{\sqrt{75}}{\sqrt{3}}$$

a) $$\sqrt{0,25 \cdot 36} = \sqrt{\frac{1}{4} \cdot 36} = \sqrt{9} = 3$$

б) $$\sqrt{6 \cdot 24} = \sqrt{6 \cdot 6 \cdot 4} = \sqrt{36 \cdot 4} = \sqrt{36} \cdot \sqrt{4} = 6 \cdot 2 = 12$$

в) $$\frac{\sqrt{75}}{\sqrt{3}} = \sqrt{\frac{75}{3}} = \sqrt{25} = 5$$

Ответ: a) 3, б) 12, в) 5