Question

bài 1 : rút gọn c, \(2\sqrt{3x}-3\sqrt{75x}-\dfrac{2}{5}\sqrt{300x}\) \(\left(x\ge0\right)\)

Answer 1

\(2\sqrt{3x}-3\sqrt{75x}-\dfrac{2}{5}\sqrt{300x}=2\sqrt{3x}-3\sqrt{25.3x}-\dfrac{2}{5}\sqrt{100.3x}=2\sqrt{3x}-3.\sqrt{25}.\sqrt{3x}-\dfrac{2}{5}.\sqrt{100}.\sqrt{3x}=2\sqrt{3x}-15\sqrt{3x}-4\sqrt{3x}=-17\sqrt{3x}\)

(\(x\ge0\))

Answer 2

\(2\sqrt{3x}-3\sqrt{75x}-\dfrac{2}{5}\sqrt{300x}\left(x\ge0\right)\)

\(=2\sqrt{3x}-15\sqrt{3x}-4\sqrt{3x}=-17\sqrt{3x}\)