Question

Thực hiện phép tính

\(\left(20.\sqrt{0.03}+12.\sqrt{3}-\frac{1}{5}.\sqrt{75}\right).\sqrt{6}\)

Answer 1

\(\left(20.\sqrt{0.03}+12.\sqrt{3}-\frac{1}{5}.\sqrt{75}\right).\sqrt{6}\)

\(=20.\sqrt{0,03.6}+12.\sqrt{3.6}-\frac{1}{5}.\sqrt{75.6}\)

\(=20.\sqrt{\frac{9}{50}}+12.\sqrt{3^2.2}-\frac{1}{5}.\sqrt{15^2.2}\)

\(=6\sqrt{2}+36\sqrt{2}-3\sqrt{2}\)

\(=39\sqrt{2}\)

Answer 2

\(=\sqrt{6}\left(2\sqrt{3}+12\sqrt{3}-\sqrt{3}\right)\)

\(=\sqrt{6}.13\sqrt{3}=13\sqrt{18}=39\sqrt{2}\)