5. Упростите: a) √3+√12+√48; б) 3√2-5√18+2√50 .

Упростим выражения:

1. a) $$\sqrt{3} + \sqrt{12} + \sqrt{48} = \sqrt{3} + \sqrt{4 \cdot 3} + \sqrt{16 \cdot 3} = \sqrt{3} + 2\sqrt{3} + 4\sqrt{3} = (1+2+4)\sqrt{3} = 7\sqrt{3}$$.

2. б) $$3\sqrt{2} - 5\sqrt{18} + 2\sqrt{50} = 3\sqrt{2} - 5\sqrt{9 \cdot 2} + 2\sqrt{25 \cdot 2} = 3\sqrt{2} - 5 \cdot 3 \sqrt{2} + 2 \cdot 5 \sqrt{2} = 3\sqrt{2} - 15\sqrt{2} + 10\sqrt{2} = (3 - 15 + 10)\sqrt{2} = -2\sqrt{2}$$.

Ответ:

1. $$7\sqrt{3}$$
2. $$-2\sqrt{2}$$