a) $$12\sqrt{3} = \sqrt{12^2 \cdot 3} = \sqrt{144 \cdot 3} = \sqrt{432}$$
б) $$-9\sqrt{2} = -\sqrt{9^2 \cdot 2} = -\sqrt{81 \cdot 2} = -\sqrt{162}$$
Ответ: a) $$\sqrt{432}$$; б) $$-\sqrt{162}$$