Atrisiniet sqrt{4/3*(1/2)^2*(10/7-3/7)^2*frac{3}{2}+(frac{1}{2}-frac{1}{4})*6-[(frac{1}{4})^2:(frac{1}{4}:4)]^3}

$$\sqrt { \frac { 4 } { 3 } \times ( \frac { 1 } { 2 } ) ^ { 2 } \times ( \frac { 10 } { 7 } - \frac { 3 } { 7 } ) ^ { 2 } \times \frac { 3 } { 2 } + ( \frac { 1 } { 2 } - \frac { 1 } { 4 } ) \times 6 - [ ( \frac { 1 } { 4 } ) ^ { 2 } : ( \frac { 1 } { 4 } : 4 ) ] ^ { 3 } }$$

Izrēķināt

$$1$$

Atrisinājuma darbības

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

$$\sqrt{\frac{4}{3}\times \frac{1}{4}\left(\frac{10}{7}-\frac{3}{7}\right)^{2}\times \frac{3}{2}+\left(\frac{1}{2}-\frac{1}{4}\right)\times 6-\left(\frac{\left(\frac{1}{4}\right)^{2}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

Reiziniet \frac{4}{3} un \frac{1}{4}, lai iegūtu \frac{1}{3}.

$$\sqrt{\frac{1}{3}\left(\frac{10}{7}-\frac{3}{7}\right)^{2}\times \frac{3}{2}+\left(\frac{1}{2}-\frac{1}{4}\right)\times 6-\left(\frac{\left(\frac{1}{4}\right)^{2}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

Atņemiet \frac{3}{7} no \frac{10}{7}, lai iegūtu 1.

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

Aprēķiniet 1 pakāpē 2 un iegūstiet 1.

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

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

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

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

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

Atņemiet \frac{1}{4} no \frac{1}{2}, lai iegūtu \frac{1}{4}.

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

Reiziniet \frac{1}{4} un 6, lai iegūtu \frac{3}{2}.

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

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

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

Aprēķiniet \frac{1}{4} pakāpē 2 un iegūstiet \frac{1}{16}.

$$\sqrt{2-\left(\frac{\frac{1}{16}}{\frac{\frac{1}{4}}{4}}\right)^{3}}$$

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

$$\sqrt{2-\left(\frac{\frac{1}{16}}{\frac{1}{4\times 4}}\right)^{3}}$$

Reiziniet 4 un 4, lai iegūtu 16.

$$\sqrt{2-\left(\frac{\frac{1}{16}}{\frac{1}{16}}\right)^{3}}$$

Daliet \frac{1}{16} ar \frac{1}{16}, lai iegūtu 1.

$$\sqrt{2-1^{3}}$$

Aprēķiniet 1 pakāpē 3 un iegūstiet 1.

$$\sqrt{2-1}$$

Atņemiet 1 no 2, lai iegūtu 1.

$$\sqrt{1}$$

Aprēķināt kvadrātsakni no 1 un iegūt 1.

$$1$$

Sadalīt reizinātājos

$$1$$