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

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

Preveri

Koraki rešitve

Pomnožite \sqrt{2} in \sqrt{2}, da dobite 2.

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

Pomnožite \sqrt{2} in \sqrt{2}, da dobite 2.

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

Racionalizirajte imenovalec \frac{1}{\sqrt{2}} tako, da pomnožite števec in imenovalec s \sqrt{2}.

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

Kvadrat vrednosti \sqrt{2} je 2.

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

Odštejte \frac{\sqrt{2}}{2} na obeh straneh.

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

Združite \frac{\sqrt{2}}{2} in -\frac{\sqrt{2}}{2}, da dobite 0.

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

Primerjajte 0 in 0.

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

Odštejte \frac{\sqrt{2}}{2} na obeh straneh.

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

Združite \frac{\sqrt{2}}{2} in -\frac{\sqrt{2}}{2}, da dobite 0.

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

Primerjajte 0 in 0.

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

Konjunkcija vrednosti \text{true} in \text{true} je \text{true}.

$$\text{true}$$