Б) \(\sqrt{30\frac{1}{4} \cdot \frac{49}{36}}\)

Решение:

1. \(\sqrt{30\frac{1}{4} \cdot \frac{49}{36}} = \sqrt{\frac{121}{4} \cdot \frac{49}{36}}\)
2. \( = \sqrt{\frac{121}{4}} \cdot \sqrt{\frac{49}{36}} \)
3. \( = \frac{11}{2} \cdot \frac{7}{6} \)
4. \( = \frac{77}{12} \)
5. \( = 6\frac{5}{12} \)

Ответ: \(6\frac{5}{12}\)