Question

Answer 1

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

Answer 2

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

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

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

Answer 3

\(\sqrt{2}\left(\sqrt{3}+\sqrt{2}\right)-\sqrt{3}\left(\sqrt{3}-\sqrt{2}\right)\\ =\sqrt{2.3}+\sqrt{2^2}-\sqrt{3^2}+\sqrt{3.2}\\ =\sqrt{6}+2-3+\sqrt{6}\\ =2\sqrt{6}-1\)