Question

Resolva a racionalização dos denominadores .
Alguém me ajuda pfvr ​

Answer 1

a) $\sf \dfrac{9}{\sqrt[10]{3^7}}$

$\sf =\dfrac{9}{\sqrt[10]{3^7}}\cdot\dfrac{\sqrt[10]{3^3}}{\sqrt[10]{3^3}}$

$\sf =\dfrac{9\sqrt[10]{27}}{3}$

$\sf =3\sqrt[10]{27}$

b) $\sf \dfrac{2}{\sqrt[2]{2}}$

$\sf =\dfrac{2}{\sqrt[2]{2}}\cdot\dfrac{\sqrt[2]{2}}{\sqrt[2]{2}}$

$\sf =\dfrac{2\sqrt[2]{2}}{2}$

$\sf =\sqrt[2]{2}$

c) $\sf \dfrac{5}{\sqrt[2]{5}}$

$\sf =\dfrac{5}{\sqrt[2]{5}}\cdot\dfrac{\sqrt[2]{5}}{\sqrt[2]{5}}$

$\sf =\dfrac{5\sqrt[2]{5}}{5}$

$\sf =\sqrt[2]{5}$

d) $\sf \dfrac{1}{\sqrt[2]{2}}$

$\sf =\dfrac{1}{\sqrt[2]{2}}\cdot\dfrac{\sqrt[2]{2}}{\sqrt[2]{2}}$

$\sf =\dfrac{\sqrt[2]{2}}{2}$