Question

Rút gọn:

1) \(\left(\sqrt{12}+2\sqrt{27}-\sqrt{3}\right):\sqrt{3}\)

2) \(\left(4\sqrt{2}-\sqrt{8}+2\right).\sqrt{2-\sqrt{8}}\)

3) \(\sqrt{3}\left(2\sqrt{27}-\sqrt{75}+\dfrac{3}{2}\sqrt{12}\right)\)

Answer 1

3) \(\sqrt{3}\left(2\sqrt{27}-\sqrt{75}+\dfrac{3}{2}\sqrt{12}\right)\)

=\(\sqrt{3}\left(2.3\sqrt{3}-5\sqrt{3}+\dfrac{3}{2}.2\sqrt{3}\right)\)

=\(\sqrt{3}\left(6\sqrt{3}-5\sqrt{3}+3\sqrt{3}\right)\)

=\(\sqrt{3}.\left(4\sqrt{3}\right)\)

=12

Answer 2

\(\left(2\sqrt{3}+2.3\sqrt{3}-\sqrt{3}\right):\sqrt{3}\)

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

=\(\left(7\sqrt{3}\right):\sqrt{3}\)

=\(7\sqrt{3}.\dfrac{1}{\sqrt{3}}\)

=7