Question

rút gọn:

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

Answer 1

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

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

\(=1+2\sqrt{3}+3-2=2+2\sqrt{3}\)

Answer 2

`= (1+sqrt3)^2 - (sqrt 2)^2`

`= 4 + 2 sqrt 3 - 2`

`= 2 + 2 sqrt 3`

`= 2(1 + sqrt 3)`

Answer 3

\(\left(1+\sqrt{3}-\sqrt{2}\right)\left(1+\sqrt{3}+\sqrt{2}\right)\\ =\left(1+\sqrt{3}\right)^2-\sqrt{2}^2\\ =4+2\sqrt{3}-2=2+2\sqrt{3}\)