Question

16) Efetue : 

(5/raizde2 + raizde2/raizde3) . raizde2 

Resposta : 15 + 2raizde3/3

Answer 1

$\sqrt{2} ( \frac{5}{ \sqrt{2} } + \frac{ \sqrt{2} }{ \sqrt{3} } )=$

aplicando distributiva

$\frac{5 \sqrt{2} }{ \sqrt{2} } + \frac{ \sqrt{2^2} }{ \sqrt{3} } =$

$5+ \frac{2}{ \sqrt{3} } = \frac{5 \sqrt{3}+2 }{ \sqrt{3} } =$

racionalizar

$\frac{(5 \sqrt{3}+2) \sqrt{3} }{ \sqrt{3}. \sqrt{3} } = \frac{5. \sqrt{3^2}+2 \sqrt{3} }{ \sqrt{3^2} } =$

$\frac{5.3+2 \sqrt{3} }{3} =\fbox{ \frac{15+2 \sqrt{3} }{3 }}$