Question

Racionalize a seguinte expressão​

Answer 1

Resposta:

1. $\frac{\sqrt[]{3} }{3}$

2. $\frac{4-\sqrt{2} }{2}$

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

Explicação passo-a-passo:

1. $\frac{1}{\sqrt[]{3} } . \frac{\sqrt[]{3} }{\sqrt[]{3} } =\frac{\sqrt[]{3} }{3}$

2. $\frac{7}{4+\sqrt[]{2} }.\frac{4-\sqrt[]{2} }{4-\sqrt[]{2} } = \frac{7(4-\sqrt[]{2}) }{(4+\sqrt[]{2}).(4-\sqrt[]{2}) } = \frac{7(4-\sqrt[]{2}) }{(16-2)} = \frac{7(4-\sqrt[]{2}) }{14}= \frac{4-\sqrt{2} }{2}$

3. $\frac{3}{\sqrt[3]{2} } . \frac{\sqrt[3]{2^{2} } }{\sqrt[3]{2^{2} } } =\frac{3\sqrt[3]{2^{2} } }{\sqrt[3]{2} \sqrt[3]{2^{2} } } =\frac{3\sqrt[3]{4} }{\sqrt[3]{2.2^{2} } } = \frac{3\sqrt[3]{4} }{\sqrt[3]{2^{3} } } = \frac{3\sqrt[3]{4} }{2}$

Espero ter ajudado :)