1 câu trả lời
Bài làm :
`(\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+\sqrt{16})/(\sqrt{2}+\sqrt{3}+\sqrt{4})`
`=(\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+4)/(\sqrt{2}+\sqrt{3}+\sqrt{4})`
`=(\sqrt{2}+\sqrt{3}+2+2+\sqrt{6}+\sqrt{8})/(\sqrt{2}+\sqrt{3}+\sqrt{4})`
`=(\sqrt{2}+\sqrt{3}+\sqrt{4}+\sqrt{4}+\sqrt{6}+\sqrt{8})/(\sqrt{2}+\sqrt{3}+\sqrt{4})`
`=((\sqrt{2}+\sqrt{3}+\sqrt{4})+\sqrt{2}(\sqrt{2}+\sqrt{3}+\sqrt{4}))/(\sqrt{2}+\sqrt{3}+\sqrt{4})`
`=((1+\sqrt{2})(\sqrt{2}+\sqrt{3}+\sqrt{4}))/(\sqrt{2}+\sqrt{3}+\sqrt{4})`
`=1+\sqrt{2}`
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