Question

Làm giúp mình bài 1 với ạ

Answer 1

a) \(=5\sqrt{3}+9\sqrt{3}-12\sqrt{3}-8\sqrt{3}=-6\sqrt{3}\)

b) \(=8-3\sqrt{5}-\sqrt{45-2\sqrt{500}}=8-3\sqrt{5}-\left|5-2\sqrt{5}\right|=8-3\sqrt{5}-5+2\sqrt{5}=3-\sqrt{5}\)

c) \(\dfrac{8\sqrt{6}-12}{\sqrt{6}-4}-3\sqrt{\dfrac{2}{3}}+\dfrac{12}{\sqrt{6}-2}=\dfrac{\left(8\sqrt{6}-12\right)\left(\sqrt{6}+4\right)}{-10}-\sqrt{3}.\sqrt{2}+\dfrac{12\left(\sqrt{6}+2\right)}{2}=\dfrac{20\sqrt{6}}{-10}-\sqrt{6}+6\left(\sqrt{6}+2\right)=-2\sqrt{6}-\sqrt{6}+6\sqrt{6}+12=12+3\sqrt{6}\)