Question

\(\left(2\sqrt{3}+\sqrt{5}\right)\cdot\sqrt{3}-\sqrt{60}\) 

Answer 1

\(\left(2\sqrt{3}+\sqrt{5}\right).\sqrt{3}\)\(-\sqrt{60}\)

\(=2\sqrt{3}.\sqrt{3}\)\(+\sqrt{5}.\sqrt{3}\)\(-\sqrt{4.15}\)

\(=2.3+\sqrt{15}-2\sqrt{15}\)

\(=6+\sqrt{15}.\left(1-2\right)\)

\(=6-\sqrt{15}\)

Answer 2

\(\left(2\sqrt{3}+\sqrt{5}\right).\sqrt{3}-\sqrt{60}\)

\(=2\sqrt{3}.\sqrt{3}+\sqrt{5}.\sqrt{3}-\sqrt{60}\)

\(=2.3+\sqrt{5.3}-\sqrt{60}\)

\(=6+\sqrt{15}-\sqrt{60}\)

\(=6-\sqrt{15}\)