Рассчитаем каждое из выражений: a) \( \frac{\sqrt{150}}{\sqrt{6}} = \sqrt{\frac{150}{6}} = \sqrt{25} = 5 \), b) \( \frac{\sqrt{3}}{\sqrt{12}} = \sqrt{\frac{3}{12}} = \sqrt{\frac{1}{4}} = \frac{1}{2} \), c) \( \sqrt{36} = 6 \), d) \( \sqrt{64 \cdot 32} = \sqrt{2048} \approx 45.26 \), e) \( \frac{(\sqrt{6})^2}{6} = \frac{6}{6} = 1 \).