Question

Racionalize O Denominador Das Expressões Seguintes:
a)
$\frac{3}{ \sqrt{6} }$
b)
$\frac{1}{2 \sqrt{2} }$
c)
$\frac{ \sqrt{ 3} }{ \sqrt{5} }$
d)
$\frac{3}{ \sqrt[3]{3} }$
e)
$\frac{4}{ \sqrt[5]{2 {}^{2} } }$
​

Answer 1

Resposta:

Explicação passo-a-passo:

a)

$\frac{3}{\sqrt{6}}.\frac{\sqrt{6}}{\sqrt{6}}=\frac{3\sqrt{6}}{6}=\frac{\sqrt{6}}{3}$

b)

$\frac{1}{2\sqrt{2}}.\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2.2}=\frac{\sqrt{2}}{4}$

c)

$\frac{\sqrt{3}}{\sqrt{5}}.\frac{\sqrt{5}}{\sqrt{5}}=\frac{\sqrt{15}}{5}$

d)

$\frac{3}{\sqrt[3]{3}}.\frac{\sqrt[3]{3^{2}}}{\sqrt[3]{3^{2}}}=\frac{3\sqrt[3]{3^{2}}}{3}=\sqrt[3]{3^{2}}$

e)

$\frac{4}{\sqrt[5]{2^{2}}}.\frac{\sqrt[5]{2^{3}}}{\sqrt[5]{2^{3}}}=\frac{4\sqrt[5]{2^{3}}}{2}=2\sqrt[5]{2^{3}}$