Atrisiniet sqrt{{3/2+1-3/2*[(1/6*3/5+frac{7}{5}*frac{1}{7})*frac{5}{2}]}*frac{4}{33}+(1-frac{1}{2})^2:3+(frac{2}{3})^2}

$$\sqrt { \{ \frac { 3 } { 2 } + 1 - \frac { 3 } { 2 } \times [ ( \frac { 1 } { 6 } \times \frac { 3 } { 5 } + \frac { 7 } { 5 } \times \frac { 1 } { 7 } ) \times \frac { 5 } { 2 } ] \} \times \frac { 4 } { 33 } + ( 1 - \frac { 1 } { 2 } ) ^ { 2 } : 3 + ( \frac { 2 } { 3 } ) ^ { 2 } }$$

Izrēķināt

$$\frac{5}{6}\approx 0,833333333$$

Atrisinājuma darbības

Saskaitiet \frac{3}{2} un 1, lai iegūtu \frac{5}{2}.

$$\sqrt{\left(\frac{5}{2}-\frac{3}{2}\left(\frac{1}{6}\times \frac{3}{5}+\frac{7}{5}\times \frac{1}{7}\right)\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}}$$

Reiziniet \frac{1}{6} un \frac{3}{5}, lai iegūtu \frac{1}{10}.

$$\sqrt{\left(\frac{5}{2}-\frac{3}{2}\left(\frac{1}{10}+\frac{7}{5}\times \frac{1}{7}\right)\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}}$$

Reiziniet \frac{7}{5} un \frac{1}{7}, lai iegūtu \frac{1}{5}.

$$\sqrt{\left(\frac{5}{2}-\frac{3}{2}\left(\frac{1}{10}+\frac{1}{5}\right)\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}}$$

Saskaitiet \frac{1}{10} un \frac{1}{5}, lai iegūtu \frac{3}{10}.

$$\sqrt{\left(\frac{5}{2}-\frac{3}{2}\times \frac{3}{10}\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}}$$

Reiziniet \frac{3}{2} un \frac{3}{10}, lai iegūtu \frac{9}{20}.

$$\sqrt{\left(\frac{5}{2}-\frac{9}{20}\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}}$$

Reiziniet \frac{9}{20} un \frac{5}{2}, lai iegūtu \frac{9}{8}.

$$\sqrt{\left(\frac{5}{2}-\frac{9}{8}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}}$$

Atņemiet \frac{9}{8} no \frac{5}{2}, lai iegūtu \frac{11}{8}.

$$\sqrt{\frac{11}{8}\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}}$$

Reiziniet \frac{11}{8} un \frac{4}{33}, lai iegūtu \frac{1}{6}.

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

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

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

Aprēķiniet \frac{1}{2} pakāpē 2 un iegūstiet \frac{1}{4}.

$$\sqrt{\frac{1}{6}+\frac{\frac{1}{4}}{3}+\left(\frac{2}{3}\right)^{2}}$$

Izsakiet \frac{\frac{1}{4}}{3} kā vienu daļskaitli.

$$\sqrt{\frac{1}{6}+\frac{1}{4\times 3}+\left(\frac{2}{3}\right)^{2}}$$

Reiziniet 4 un 3, lai iegūtu 12.

$$\sqrt{\frac{1}{6}+\frac{1}{12}+\left(\frac{2}{3}\right)^{2}}$$

Saskaitiet \frac{1}{6} un \frac{1}{12}, lai iegūtu \frac{1}{4}.

$$\sqrt{\frac{1}{4}+\left(\frac{2}{3}\right)^{2}}$$

Aprēķiniet \frac{2}{3} pakāpē 2 un iegūstiet \frac{4}{9}.

$$\sqrt{\frac{1}{4}+\frac{4}{9}}$$

Saskaitiet \frac{1}{4} un \frac{4}{9}, lai iegūtu \frac{25}{36}.

$$\sqrt{\frac{25}{36}}$$

Pārrakstiet dalījuma kvadrātsakni \frac{25}{36} kā kvadrātveida saknes \frac{\sqrt{25}}{\sqrt{36}}. Izrēķiniet gan skaitītāja, gan saucēja kvadrātsakni.

$$\frac{5}{6}$$

Sadalīt reizinātājos

$$\frac{5}{2 \cdot 3} = 0,8333333333333334$$