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

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

Potvrdi

Koraci za rješenje

Pomnožite \sqrt{2} i \sqrt{2} da biste dobili 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} i \sqrt{2} da biste dobili 2.

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

Racionalizirajte imenilac broja \frac{1}{\sqrt{2}} tako što ćete pomnožiti brojilac i imenilac sa \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 broja \sqrt{2} je 2.

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

Oduzmite \frac{\sqrt{2}}{2} s obje strane.

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

Kombinirajte \frac{\sqrt{2}}{2} i -\frac{\sqrt{2}}{2} da biste dobili 0.

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

Uporedite 0 i 0.

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

Oduzmite \frac{\sqrt{2}}{2} s obje strane.

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

Kombinirajte \frac{\sqrt{2}}{2} i -\frac{\sqrt{2}}{2} da biste dobili 0.

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

Uporedite 0 i 0.

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

Konjunkcija \text{true} i \text{true} je \text{true}.

$$\text{true}$$