1134. a) √\frac{54}{2}; б) √\frac{3}{96}; в) √\frac{256}{2}; г) √\frac{256}{4}

1134. a) \( \sqrt{\frac{54}{2}} = \sqrt{27} = \sqrt{3^3} = 3\sqrt{3} \) б) \( \sqrt{\frac{3}{96}} = \sqrt{\frac{1}{32}} = \frac{1}{\sqrt{32}} = \frac{1}{\sqrt{16 \cdot 2}} = \frac{1}{4\sqrt{2}} = \frac{\sqrt{2}}{8} \) в) \( \sqrt{\frac{256}{2}} = \sqrt{128} = \sqrt{64 \cdot 2} = 8\sqrt{2} \) г) \( \sqrt{\frac{256}{4}} = \sqrt{64} = 8 \)