Question

6．計(jì)算：（1）3$\sqrt{5}$×$2\sqrt{10}$；（2）$\sqrt{\frac{1}{3}a}$$•\sqrt{3ab}$．

Answer 1

分析 結(jié)合二次根式乘除法的運(yùn)算法則進(jìn)行求解即可．

解答 解：（1）3$\sqrt{5}$×$2\sqrt{10}$
=3$\sqrt{5}$×2$\sqrt{5}$×$\sqrt{2}$
=30$\sqrt{2}$．
（2）$\sqrt{\frac{1}{3}a}$$•\sqrt{3ab}$
=$\sqrt{\frac{1}{3}a×3ab}$
=$\sqrt{{a}^{2}b}$
=a$\sqrt$．

點(diǎn)評(píng) 本題考查了二次根式的乘除法，解答本題的關(guān)鍵在于熟練掌握二次根式乘除法的運(yùn)算法則．