Question

Phân tích đa thức thành nhân tử:

2+\(\sqrt{3}+\sqrt{6}+\sqrt{8}\)

Answer 1

\(2+\sqrt{3}+\sqrt{6}+\sqrt{8}=2+\sqrt{3}+\sqrt{6}+2\sqrt{2}=2+\sqrt{3}+\sqrt{2}\left(\sqrt{3}+2\right)=\left(\sqrt{3}+2\right)\left(1+\sqrt{2}\right)\)

Answer 2

\(2+\sqrt{3}+\sqrt{6}+\sqrt{8}=\left(2+2\sqrt{2}\right)+\left(\sqrt{3}+\sqrt{3.2}\right)=2.\left(1+\sqrt{2}\right)+\sqrt{3}.\left(1+\sqrt{2}\right)=\left(\sqrt{2}+1\right).\left(2+\sqrt{3}\right)\)