Question

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

Answer 1

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

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

=(1+\(\sqrt{3}\))² - \(\sqrt{2}\)²

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

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

Answer 2

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

\(=1+\sqrt{2}+\sqrt{3}-\sqrt{2}-2-\sqrt{6}+\sqrt{3}+\sqrt{6}+3\)

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

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

chúc bạn học tốt!!