Question

6) Efetuando-se a expressão adiante, obtém-se
$\sqrt[3]{ \frac{14}{125} + \sqrt{ \frac{3}{5} - \frac{11}{25} } }$
a)
$\frac{ \sqrt[3]{4} + 2 }{5}$

b)
$\frac{ \sqrt[3]{114} }{5}$

c)
$\frac{6}{5}$

d)
$\frac{4}{5}$

e)
$\frac{3}{5}$
​

Answer 1

Resposta:   letra D

Explicação passo-a-passo:

$\sqrt[3]{14/125+\sqrt{3/5-11/25} } \\\\ ( mmc 5,25 = 25 )\\\\\sqrt[3]{14/125+\sqrt{15/25-11/25} } \\\\\\\sqrt[3]{14/125+\sqrt{4/25} } \\\\\\\sqrt[3]{14/125+2/5} } \\\\ ( mmc 5,125 = 125 )\\\\\sqrt[3]{14/125+50/125}\\\\\sqrt[3]{64/125}\\\\4/5$

Espero ter ajudado