Đáp án:
Ta có:
`(\sqrt{2015}+sqrt{2018})^2`
`=2015+2018+2sqrt{2015.2018}`
`=4033+2sqrt{4066270}`
`(sqrt{2016}+sqrt{2017})^2`
`=2016+2017+2sqrt{2016.2017}`
`=4033+2sqrt{4066272}`
Vì `2sqrt{4066270}<2sqrt{4066272}`
`=>4033+2sqrt{4066270}<4033+2sqrt{4066272}`
Hay `(\sqrt{2015}+sqrt{2018})^2<(sqrt{2016}+sqrt{2017})^2`
`<=>\sqrt{2015}+sqrt{2018}<sqrt{2016}+sqrt{2017}`