Question

RADICAIS

Alguém pra me ajudar nessa questão :

Answer 1

Resposta:

$\boxed{\frac{3}{7}}$

Explicação passo-a-passo:

$\dfrac{3\sqrt{2}}{\sqrt{35}}\ x \ \dfrac{\sqrt{5}}{\sqrt{14}} =\\\\\\\dfrac{3\sqrt{2}}{\sqrt{7.5}}\ x \ \dfrac{\sqrt{5}}{\sqrt{7.2}} =\\\\\\\dfrac{3\sqrt{2}}{\sqrt{5}\sqrt{7} }\ x \ \dfrac{\sqrt{5}}{\sqrt{2}\sqrt{7} }=\\\\\\\dfrac{3}{\sqrt{7} }\ x \ \dfrac{1}{\sqrt{7} } =\dfrac{3}{(\sqrt{7})(\sqrt{7})}= \dfrac{3}{(\sqrt{7})^2}=\boxed{\frac{3}{7}}$