Atrisiniet [(1/21/4frac{1/8)^frac{1{6}}}{1-1/2}]-frac{-2+2:frac{4}{3}}{1-1:frac{2}{3}}+sqrt{frac{2-frac{2}{3}}{frac{1}{3}-frac{1}{4}}}=

$$[ \frac { ( \frac { 1 } { 2 } \frac { 1 } { 4 } \frac { 1 } { 8 } ) ^ { \frac { 1 } { 6 } } } { 1 - \frac { 1 } { 2 } } ] - \frac { - 2 + 2 : \frac { 4 } { 3 } } { 1 - 1 : \frac { 2 } { 3 } } + \sqrt { \frac { 2 - \frac { 2 } { 3 } } { \frac { 1 } { 3 } - \frac { 1 } { 4 } } } =$$

Izrēķināt

$$4$$

Atrisinājuma darbības

Reiziniet \frac{1}{2} un \frac{1}{4}, lai iegūtu \frac{1}{8}.

$$\frac{\left(\frac{1}{8}\times \frac{1}{8}\right)^{\frac{1}{6}}}{1-\frac{1}{2}}-\frac{-2+\frac{2}{\frac{4}{3}}}{1-\frac{1}{\frac{2}{3}}}+\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

Reiziniet \frac{1}{8} un \frac{1}{8}, lai iegūtu \frac{1}{64}.

$$\frac{\left(\frac{1}{64}\right)^{\frac{1}{6}}}{1-\frac{1}{2}}-\frac{-2+\frac{2}{\frac{4}{3}}}{1-\frac{1}{\frac{2}{3}}}+\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

Aprēķiniet \frac{1}{64} pakāpē \frac{1}{6} un iegūstiet \frac{1}{2}.

$$\frac{\frac{1}{2}}{1-\frac{1}{2}}-\frac{-2+\frac{2}{\frac{4}{3}}}{1-\frac{1}{\frac{2}{3}}}+\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

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

$$\frac{\frac{1}{2}}{\frac{1}{2}}-\frac{-2+\frac{2}{\frac{4}{3}}}{1-\frac{1}{\frac{2}{3}}}+\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

Daliet \frac{1}{2} ar \frac{1}{2}, lai iegūtu 1.

$$1-\frac{-2+\frac{2}{\frac{4}{3}}}{1-\frac{1}{\frac{2}{3}}}+\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

Daliet 2 ar \frac{4}{3}, reizinot 2 ar apgriezto daļskaitli \frac{4}{3} .

$$1-\frac{-2+2\times \frac{3}{4}}{1-\frac{1}{\frac{2}{3}}}+\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

Reiziniet 2 un \frac{3}{4}, lai iegūtu \frac{3}{2}.

$$1-\frac{-2+\frac{3}{2}}{1-\frac{1}{\frac{2}{3}}}+\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

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

$$1-\frac{-\frac{1}{2}}{1-\frac{1}{\frac{2}{3}}}+\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

Daliet 1 ar \frac{2}{3}, reizinot 1 ar apgriezto daļskaitli \frac{2}{3} .

$$1-\frac{-\frac{1}{2}}{1-1\times \frac{3}{2}}+\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

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

$$1-\frac{-\frac{1}{2}}{1-\frac{3}{2}}+\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

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

$$1-\frac{-\frac{1}{2}}{-\frac{1}{2}}+\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

Daliet -\frac{1}{2} ar -\frac{1}{2}, lai iegūtu 1.

$$1-1+\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

Atņemiet 1 no 1, lai iegūtu 0.

$$\sqrt{\frac{2-\frac{2}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

Atņemiet \frac{2}{3} no 2, lai iegūtu \frac{4}{3}.

$$\sqrt{\frac{\frac{4}{3}}{\frac{1}{3}-\frac{1}{4}}}$$

Atņemiet \frac{1}{4} no \frac{1}{3}, lai iegūtu \frac{1}{12}.

$$\sqrt{\frac{\frac{4}{3}}{\frac{1}{12}}}$$

Daliet \frac{4}{3} ar \frac{1}{12}, reizinot \frac{4}{3} ar apgriezto daļskaitli \frac{1}{12} .

$$\sqrt{\frac{4}{3}\times 12}$$

Reiziniet \frac{4}{3} un 12, lai iegūtu 16.

$$\sqrt{16}$$

Aprēķināt kvadrātsakni no 16 un iegūt 4.

$$4$$

Sadalīt reizinātājos

$$2^{2}$$