Atrisiniet sqrt{6*{5/13*[7/3*(1/3+2):(2+1/2):(frac{5}{6}+frac{3}{2})+(1-frac{1}{5})]-frac{1}{2}}*{frac{5}{9}*[(frac{2}{15}+frac{5}{3}):frac{5}{2}]}^2}

$$\sqrt { 6 \times \{ \frac { 5 } { 13 } \times [ \frac { 7 } { 3 } \times ( \frac { 1 } { 3 } + 2 ) : ( 2 + \frac { 1 } { 2 } ) : ( \frac { 5 } { 6 } + \frac { 3 } { 2 } ) + ( 1 - \frac { 1 } { 5 } ) ] - \frac { 1 } { 2 } \} \times \{ \frac { 5 } { 9 } \times [ ( \frac { 2 } { 15 } + \frac { 5 } { 3 } ) : \frac { 5 } { 2 } ] \} ^ { 2 } }$$

Izrēķināt

$$\frac{2}{5}=0,4$$

Atrisinājuma darbības

Saskaitiet \frac{1}{3} un 2, lai iegūtu \frac{7}{3}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{\frac{7}{3}\times \frac{7}{3}}{2+\frac{1}{2}}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Reiziniet \frac{7}{3} un \frac{7}{3}, lai iegūtu \frac{49}{9}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{\frac{49}{9}}{2+\frac{1}{2}}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Saskaitiet 2 un \frac{1}{2}, lai iegūtu \frac{5}{2}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{\frac{49}{9}}{\frac{5}{2}}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Daliet \frac{49}{9} ar \frac{5}{2}, reizinot \frac{49}{9} ar apgriezto daļskaitli \frac{5}{2} .

$$\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{49}{9}\times \frac{2}{5}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Reiziniet \frac{49}{9} un \frac{2}{5}, lai iegūtu \frac{98}{45}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{98}{45}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Saskaitiet \frac{5}{6} un \frac{3}{2}, lai iegūtu \frac{7}{3}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{98}{45}}{\frac{7}{3}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Daliet \frac{98}{45} ar \frac{7}{3}, reizinot \frac{98}{45} ar apgriezto daļskaitli \frac{7}{3} .

$$\sqrt{6\left(\frac{5}{13}\left(\frac{98}{45}\times \frac{3}{7}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Reiziniet \frac{98}{45} un \frac{3}{7}, lai iegūtu \frac{14}{15}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{14}{15}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Saskaitiet \frac{14}{15} un 1, lai iegūtu \frac{29}{15}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{29}{15}-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Atņemiet \frac{1}{5} no \frac{29}{15}, lai iegūtu \frac{26}{15}.

$$\sqrt{6\left(\frac{5}{13}\times \frac{26}{15}-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Reiziniet \frac{5}{13} un \frac{26}{15}, lai iegūtu \frac{2}{3}.

$$\sqrt{6\left(\frac{2}{3}-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Atņemiet \frac{1}{2} no \frac{2}{3}, lai iegūtu \frac{1}{6}.

$$\sqrt{6\times \frac{1}{6}\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Reiziniet 6 un \frac{1}{6}, lai iegūtu 1.

$$\sqrt{\left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Saskaitiet \frac{2}{15} un \frac{5}{3}, lai iegūtu \frac{9}{5}.

$$\sqrt{\left(\frac{5}{9}\times \frac{\frac{9}{5}}{\frac{5}{2}}\right)^{2}}$$

Daliet \frac{9}{5} ar \frac{5}{2}, reizinot \frac{9}{5} ar apgriezto daļskaitli \frac{5}{2} .

$$\sqrt{\left(\frac{5}{9}\times \frac{9}{5}\times \frac{2}{5}\right)^{2}}$$

Reiziniet \frac{9}{5} un \frac{2}{5}, lai iegūtu \frac{18}{25}.

$$\sqrt{\left(\frac{5}{9}\times \frac{18}{25}\right)^{2}}$$

Reiziniet \frac{5}{9} un \frac{18}{25}, lai iegūtu \frac{2}{5}.

$$\sqrt{\left(\frac{2}{5}\right)^{2}}$$

Aprēķiniet \frac{2}{5} pakāpē 2 un iegūstiet \frac{4}{25}.

$$\sqrt{\frac{4}{25}}$$

Pārrakstiet dalījuma kvadrātsakni \frac{4}{25} kā kvadrātveida saknes \frac{\sqrt{4}}{\sqrt{25}}. Izrēķiniet gan skaitītāja, gan saucēja kvadrātsakni.

$$\frac{2}{5}$$

Sadalīt reizinātājos

$$\frac{2}{5} = 0,4$$