\sqrt(74+40\sqrt(3))-\sqrt(77+30\sqrt(6))

Đáp án+Giải thích các bước giải:

`\sqrt{74+40\sqrt{3}} - \sqrt{77+30\sqrt{6}}`

`=\sqrt{74+2\sqrt{600}} - \sqrt{77+2\sqrt{1350}}`

`=\sqrt{24+2.\sqrt{24}.\sqrt{50}+50} - \sqrt{27+2.\sqrt{27}.\sqrt{50}+50}`

`=\sqrt{(\sqrt{24}+\sqrt{50})^2} - \sqrt{(\sqrt{27}+\sqrt{50})^2}`

`=|\sqrt{24}+\sqrt{50}| - |\sqrt{27}+\sqrt{50}|`

`=\sqrt{24}+\sqrt{50}-\sqrt{27}-\sqrt{50}`

`=\sqrt{24}-\sqrt{27}`

`= 2\sqrt{6}-3\sqrt{3}`

`#Darkshadow169`