$\frac{ √2+ √3+ √6+ √8+ √16}{√2+ √3+ √4 }$

2 câu trả lời

\(\dfrac{\sqrt 2+\sqrt3+\sqrt 6+\sqrt 8+4}{\sqrt2+\sqrt 3+\sqrt 4}\)

\(=\dfrac{\sqrt 2+\sqrt3+2+\sqrt 6+\sqrt 8+2}{\sqrt2+\sqrt 3+\sqrt 4}\)

\(=\dfrac{\sqrt 2+\sqrt3+\sqrt 4+\sqrt 6+\sqrt 8+\sqrt 4}{\sqrt2+\sqrt 3+\sqrt 4}\)

\(=1+\dfrac{\sqrt 2(\sqrt3+\sqrt4+\sqrt2)}{\sqrt2+\sqrt 3+\sqrt 4}\)

\(=1+1\)

\(=2\)

$\frac{√2+√3+√6+√8+√16}{√2+√3+√4}$

 =$\frac{√2+√3+√6+√8+4}{√2+√3+√4}$

=$\frac{√2+√3+2}{√2+√3+√4}$ +$\frac{2+√6+√8}{√2+√3+√4}$ 

=1+$\frac{√2(√2+√3+√4)}{√2+√3+√4}$ 

=1+√2

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