a) $$3\sqrt{1\frac{9}{16}} - 1 = 3\sqrt{\frac{16+9}{16}} - 1 = 3\sqrt{\frac{25}{16}} - 1 = 3 \cdot \frac{5}{4} - 1 = \frac{15}{4} - \frac{4}{4} = \frac{15-4}{4} = \frac{11}{4} = 2\frac{3}{4}$$
Ответ: $$2\frac{3}{4}$$