Question

Racionalização de Denominadores
alguém me ajuda?​

Answer 1

Resposta:

a) v2/2

b) 2v3/3

c) v2

Answer 2

Explicação passo-a-passo:

$\blue {{ _{\heartsuit} } \heartsuit_{\heartsuit} } \: \: \mathsf {OI, TUDO \: \: J\acute{O}IA \: ? \: \:\blue {{ _{\heartsuit} } \heartsuit_{\heartsuit} } }$

a)

$\mathtt{ \frac{1}{ \sqrt{2} } } \\ \mathtt{ \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } } \\ \mathtt{ \frac{1 \sqrt{2} }{ \sqrt{2} \sqrt{2} } } \\\mathtt{ \frac{ \sqrt{2} }{ \sqrt{2} \sqrt{2} } } \\ \red {\boxed{\mathtt{ \frac{ \sqrt{2} }{2} }}}$

b)

$\mathtt{ \frac{2}{ \sqrt{3} } } \\ \mathtt{ \frac{2}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } } \\ \mathtt{ \frac{2 \sqrt{3} }{ \sqrt{3} \sqrt{3} } } \\ \red {\boxed{\mathtt{ \frac{2 \sqrt{3} }{3} }}}$

c)

$\mathtt{ \frac{\cancel{\blue {4}}}{\cancel{\blue {2}} \sqrt{2} } } \\ \mathtt{ \frac{2}{ \sqrt{2} } } \\ \mathtt{ \frac{2}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } } \\ \mathtt{ \frac{2 \sqrt{2} }{ \sqrt{2} \sqrt{2} } } \\ \mathtt{ \frac{\cancel{\blue {2}} \sqrt{2} }{\cancel{\blue {2}}} } \\ \red {\boxed{\mathtt{ \sqrt{2} }}}$

$\mathcal{ATT : ARMANDO}$