Question

Racionalize os denominadores:

Answer 1

Resposta:

Leia abaixo

Explicação passo-a-passo:

$\dfrac{4}{\sqrt{3}} = \dfrac{4}{\sqrt{3}} \times \dfrac{\sqrt{3}}{\sqrt{3}} = \dfrac{4\sqrt{3}}{(\sqrt{3})^2} = \dfrac{4\sqrt{3}}{3}$

$\dfrac{7}{\sqrt{2}} = \dfrac{7}{\sqrt{7}} \times \dfrac{\sqrt{7}}{\sqrt{7}} = \dfrac{7\sqrt{7}}{(\sqrt{7})^2} = \dfrac{7\sqrt{2}}{2}$

$\dfrac{1}{\sqrt{5}} = \dfrac{1}{\sqrt{5}} \times \dfrac{\sqrt{5}}{\sqrt{5}} = \dfrac{\sqrt{5}}{(\sqrt{5})^2} = \dfrac{\sqrt{5}}{5}$

$\dfrac{3}{\sqrt{2}} = \dfrac{3}{\sqrt{2}} \times \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{3\sqrt{2}}{(\sqrt{2})^2} = \dfrac{3\sqrt{2}}{2}$

Answer 2

Resposta:

Explicação passo-a-passo:

.

RACIONALIZAR:

a) 4/√3 = 4√3/√3 . √3 = 4√3/3

b) 7/√2 = 7√2/2

c) 1 / √5 = √5/5

d) 3 / √2 = 3√2/2

.

(Espero ter colaborado)