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

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

Pārbaudīt

Atrisinājuma darbības

Reiziniet \sqrt{2} un \sqrt{2}, lai iegūtu 2.

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

Reiziniet \sqrt{2} un \sqrt{2}, lai iegūtu 2.

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

Atbrīvojieties no iracionalitātes saucēju ar \frac{1}{\sqrt{2}}, reizinot skaitītāju un saucēju ar \sqrt{2}.

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

Skaitļa \sqrt{2} kvadrāts ir 2.

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

Atņemiet \frac{\sqrt{2}}{2} no abām pusēm.

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

Savelciet \frac{\sqrt{2}}{2} un -\frac{\sqrt{2}}{2}, lai iegūtu 0.

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

Salīdzināt 0 un 0.

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

Atņemiet \frac{\sqrt{2}}{2} no abām pusēm.

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

Savelciet \frac{\sqrt{2}}{2} un -\frac{\sqrt{2}}{2}, lai iegūtu 0.

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

Salīdzināt 0 un 0.

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

\text{true} un \text{true} savienojums ir \text{true}.

$$\text{true}$$