Question

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

Answer 1

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

Answer 2

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

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

=2\(\sqrt{3}\)