a. $$ \sqrt{\frac{81 \cdot 25}{16}} = \sqrt{\frac{81}{16} \cdot 25} = \sqrt{\frac{81}{16}} \cdot \sqrt{25} = \frac{9}{4} \cdot 5 = \frac{45}{4} = 11 \frac{1}{4} = 11.25 $$
Ответ: 11.25