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

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

Comprobar

Pasos de la solución

Multiplica \sqrt{2} y \sqrt{2} para obtener 2.

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

Multiplica \sqrt{2} y \sqrt{2} para obtener 2.

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

Racionaliza el denominador de \frac{1}{\sqrt{2}} multiplicando el numerador y el denominador \sqrt{2}.

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

El cuadrado de \sqrt{2} es 2.

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

Resta \frac{\sqrt{2}}{2} en los dos lados.

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

Combina \frac{\sqrt{2}}{2} y -\frac{\sqrt{2}}{2} para obtener 0.

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

Compare 0 y 0.

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

Resta \frac{\sqrt{2}}{2} en los dos lados.

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

Combina \frac{\sqrt{2}}{2} y -\frac{\sqrt{2}}{2} para obtener 0.

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

Compare 0 y 0.

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

La conjunción de \text{true} y \text{true} es \text{true}.

$$\text{true}$$