Question

O valor numérico da expressão é

Answer 1

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

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

$\sqrt{2}\cdot (\frac{\sqrt{10} }{5 }+\frac{\sqrt{10} }{2\cdot 2 })=$

$\sqrt{2}\cdot (\frac{\sqrt{10} }{5 }+\frac{\sqrt{10} }{4 })=$

$\frac{\sqrt{20} }{5 }+\frac{\sqrt{20} }{4 }=$

$\frac{4\sqrt{20} }{20 }+\frac{5\sqrt{20} }{20 }=$

$\frac{9\sqrt{20} }{20}=$

$\frac{9\sqrt{4\cdot 5} }{20} =$

$\frac{9\cdot2\sqrt{5} }{20}=$

$\frac{9\sqrt{5} }{10}$

Gabarito: c)