Resolver 1/sqrt{2}=(frac{sqrt{2}}{sqrt{2}*sqrt{2}})=frac{sqrt{2}}{2}

$$\frac { 1 } { \sqrt { 2 } } = ( \frac { \sqrt { 2 } } { \sqrt { 2 } \cdot \sqrt { 2 } } ) = \frac { \sqrt { 2 } } { 2 }$$

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Passos Para a Resolução

Multiplique \sqrt{2} e \sqrt{2} para obter 2.

$$\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}\text{ and }\frac{\sqrt{2}}{\sqrt{2}\sqrt{2}}=\frac{\sqrt{2}}{2}$$

Multiplique \sqrt{2} e \sqrt{2} para obter 2.

$$\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}\text{ and }\frac{\sqrt{2}}{2}=\frac{\sqrt{2}}{2}$$

Racionalize o denominador de \frac{1}{\sqrt{2}} ao multiplicar o numerador e o denominador por \sqrt{2}.

$$\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}=\frac{\sqrt{2}}{2}\text{ and }\frac{\sqrt{2}}{2}=\frac{\sqrt{2}}{2}$$

O quadrado de \sqrt{2} é 2.

$$\frac{\sqrt{2}}{2}=\frac{\sqrt{2}}{2}\text{ and }\frac{\sqrt{2}}{2}=\frac{\sqrt{2}}{2}$$

Subtraia \frac{\sqrt{2}}{2} de ambos os lados.

$$\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}=0\text{ and }\frac{\sqrt{2}}{2}=\frac{\sqrt{2}}{2}$$

Combine \frac{\sqrt{2}}{2} e -\frac{\sqrt{2}}{2} para obter 0.

$$0=0\text{ and }\frac{\sqrt{2}}{2}=\frac{\sqrt{2}}{2}$$

Compare 0 e 0.

$$\text{true}\text{ and }\frac{\sqrt{2}}{2}=\frac{\sqrt{2}}{2}$$

Subtraia \frac{\sqrt{2}}{2} de ambos os lados.

$$\text{true}\text{ and }\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}=0$$

Combine \frac{\sqrt{2}}{2} e -\frac{\sqrt{2}}{2} para obter 0.

$$\text{true}\text{ and }0=0$$

Compare 0 e 0.

$$\text{true}\text{ and }\text{true}$$

A conjunção de \text{true} e \text{true} é \text{true}.

$$\text{true}$$