Question

Racionalize o denominador de cada fração a seguir!

Answer 1

a)

$\frac{1}{\sqrt[3]{7^2} }$

$\frac{1}{\sqrt[3]{7^2} } . (\frac{\sqrt[3]{7}}{\sqrt[3]{7} } )$

$\frac{\sqrt[3]{7}}{7 }$

b)

$\frac{3}{\sqrt[6]{5^4} }$

$\frac{3}{\sqrt[6]{5^4} } . (\frac{\sqrt[6]{5^2}}{\sqrt[6]{5^2}} )$

$\frac{3\sqrt[6]{5^2}}{5 }$

c)

$\frac{6}{\sqrt{10}-\sqrt{7}}$

$\frac{6}{\sqrt{10}-\sqrt{7}} .(\frac{\sqrt{10}+\sqrt{7}}{\sqrt{10}+\sqrt{7}})$

$\frac{6(\sqrt{10}+\sqrt{7})}{10 - 7}$

$\frac{6(\sqrt{10}+\sqrt{7})}{3}$

$2(\sqrt{10}+\sqrt{7})$

$2\sqrt{10}+2\sqrt{7}$