Question

responda a expressão apertando em rft

75386fb3c17fada1f15cc7bd8411582b.rtf

Answer 1

$\sqrt{75} + \frac{1}{ \sqrt{3} } + \frac{2 \sqrt{3} }{3} \\ \\ \sqrt{3.5^{2}} + \frac{1}{ \sqrt{3} } + \frac{2 \sqrt{3} }{3} \\ \\ 5. \sqrt{3} + \frac{1}{ \sqrt{3} } + \frac{2 \sqrt{3} }{3} \\ \\( \frac{3.5. \sqrt{3} \sqrt{3} +1.3+2. \sqrt{3} \sqrt{3} ) }{3 \sqrt{3} } \\ \\ \frac{15.3+3+2.3}{3 \sqrt{3} } \\ \\ \frac{45+3+6}{3 \sqrt{3} } \\ \\ \frac{54}{3 \sqrt{3} } = \frac{18}{ \sqrt{3}} = \frac{18 \sqrt{3} }{ \sqrt{3} \sqrt{3}} = \frac{18 \sqrt{3} }{3} =6 \sqrt{3}$

Espero ter ajudado.

Answer 2

Bom dia Leandra!

Solução!

Não esquecer de fazer o MMC,alem disso pode-se multiplicar as raízes uma vez que as mesmas tem índices iguais.


$\dsqrt{75} + \dfrac{1}{ \sqrt{3} } + \dfrac{2 \sqrt{3} }{3}\\\\\\\\\\ \dfrac{ 3.\sqrt{3}. \sqrt{75} +3.1+ 2.\sqrt{3} . \sqrt{3} }{3 \sqrt{3} } \\\\\\\ \dfrac{3. \sqrt{225}+3+2. \sqrt{9} }{3 \sqrt{3} }\\\\\\ \dfrac{3. 15+3+2. 3 }{3 \sqrt{3} }\\\\\\ \dfrac{45+3+6 }{3 \sqrt{3} }\\\\\\ \dfrac{54 }{3 \sqrt{3} }\\\\\\ \dfrac{18 }{\sqrt{3} }\\\\\\ \dfrac{18}{ \sqrt{3} }\times \dfrac{ \sqrt{3} }{ \sqrt{3} }\\\\\\ \dfrac{18 \sqrt{3} }{ \sqrt{9} }\\\\\\ \dfrac{18 \sqrt{3} }{ 3}$

$6 \sqrt{3}\\\\\\\\ \boxed{Resposta: \dsqrt{75} + \dfrac{1}{ \sqrt{3} } + \dfrac{2 \sqrt{3} }{3}=6 \sqrt{3} }$


Bom dia!
Bons estudos!