Question

Bài 1: Thực hiện các phép tính sau:

a) \(\sqrt{12}+2\sqrt{27}+3\sqrt{75}-9\sqrt{48}\)                           

b) \(2\sqrt{3}\left(\sqrt{27}+2\sqrt{48}-\sqrt{75}\right)\)

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

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

e) \(\left(\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}}\right)^2\)

f) \(\left(\sqrt{\sqrt{11}+\sqrt{7}}-\sqrt{\sqrt{11}-\sqrt{7}}\right)^2\)

Answer 1

a: \(=2\sqrt{3}+6\sqrt{3}+15\sqrt{3}-36\sqrt{3}=-13\sqrt{3}\)

b: \(=2\sqrt{3}\left(3\sqrt{3}+8\sqrt{3}-5\sqrt{3}\right)\)

\(=2\sqrt{3}\cdot6\sqrt{3}=36\)

c: \(=8+3-4\sqrt{6}=11-4\sqrt{6}\)