Rút gọn:

a) \(\sqrt{8+4\sqrt{3}}-\sqrt{8-4\sqrt{3}}\)

b) \(\sqrt{9-4\sqrt{5}}-\sqrt{9+4\sqrt{5}}\)

Tính:

a) \(\left(\sqrt{2-\sqrt{3}}-\sqrt{2+\sqrt{3}}\right)^2\)

b) \(\left(1+\sqrt{3+\sqrt{5}}\right)\left(1+\sqrt{3-\sqrt{5}}\right)\)

c) \(\left(1+\sqrt{2}+\sqrt{3}\right)\left(1-\sqrt{2}-\sqrt{3}\right)\)

Rút gọn:

B = \(\dfrac{3+\sqrt{3}}{\sqrt{2+\sqrt{3}}}\)