Question

(√6 +2)(√3-√2)

Answer 1

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

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

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

\(=\sqrt{2}\)

Answer 2

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