Question

\(\sqrt{2}.\left(\sqrt{5}-\sqrt{3}\right).\sqrt{4}+\sqrt{15}\)

Answer 1

\(\sqrt{2}.\left(\sqrt{5}-\sqrt{3}\right).\sqrt{4}+\sqrt{15}\)

\(=\left(\sqrt{10}-\sqrt{6}\right).\sqrt{4}+\sqrt{15}=2\sqrt{10}-2\sqrt{6}+\sqrt{15}\)

Answer 2

\(=2\sqrt{2}\left(\sqrt{5}-\sqrt{3}\right)+\sqrt{15}\)

\(=2\sqrt{10}-2\sqrt{6}+\sqrt{15}\)