Question

3/2√6 + 2√2/3 - 4√3/2 giải chi tiết

 

Answer 1

`(3)/(2)\sqrt{6}+2\sqrt{2/3}-4\sqrt{3/2}`

`=(3)/(2)\sqrt{6}+2.\sqrt{2}/\sqrt{3}-4.\sqrt{3}/\sqrt{2}`

`=(3)/(2)\sqrt{6}+2.(\sqrt{2}.\sqrt{3})/(\sqrt{3}^{2})-4.(\sqrt{3}.\sqrt{2})/(\sqrt{2}^{2})`

`=(3)/(2)\sqrt{6}+2.(\sqrt{6})/(3)-4.(\sqrt{6})/(2)`

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

`=((3)/(2)+(2)/(3)-2).\sqrt{6}`

`=(1)/(6)\sqrt{6}`

`=(\sqrt{6})/(6)`

Answer 2