$\frac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+4}{\sqrt{2}+\sqrt{3}+\sqrt{4}}$
Help me!
$\frac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+4}{\sqrt{2}+\sqrt{3}+\sqrt{4}}$ Help me!
By Eliza
By Eliza
$\frac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+4}{\sqrt{2}+\sqrt{3}+\sqrt{4}}$
Help me!
Đáp án:
Giải thích các bước giải:
`(\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+4)/(\sqrt{2}+\sqrt{3}+\sqrt{4})`
`=(\sqrt{2}+\sqrt{3}+\sqrt{4}+\sqrt{6}+\sqrt{8}+\sqrt{4})/(\sqrt{2}+\sqrt{3}+\sqrt{4})`
`=((\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})(\sqrt{2}+1))/(\sqrt{2}+\sqrt{3}+\sqrt{4})`
`=\sqrt{2}+1`
Đáp án:
Giải thích các bước giải:
$\frac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+4}{\sqrt{2}+\sqrt{3}+\sqrt{4}}$
`=`$\frac{\sqrt{2}+\sqrt{3}+2+2+\sqrt{6}+\sqrt{8}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}$
`=`$\frac{(\sqrt{2}+\sqrt{3}+\sqrt{4})+\sqrt{2}(\sqrt{2}+\sqrt{3}+\sqrt{4})}{\sqrt{2}+\sqrt{3}+\sqrt{4}}$
`=`$\frac{(1+\sqrt{2})(\sqrt{2}+\sqrt{3}+\sqrt{4})}{\sqrt{2}+\sqrt{3}+\sqrt{4}}$
`=1+`$\sqrt{2}$