Atrisiniet sqrt{4/5*[(11/14+1/4)-(3/14+frac{5}{4}-frac{3}{7})]^3+{(frac{3}{2}+frac{3}{4})*[frac{9}{21}*(frac{11}{15}+frac{1}{5})]*frac{5}{3}}:frac{3}{2}}

$$\sqrt { \frac { 4 } { 5 } \times [ ( \frac { 11 } { 14 } + \frac { 1 } { 4 } ) - ( \frac { 3 } { 14 } + \frac { 5 } { 4 } - \frac { 3 } { 7 } ) ] ^ { 3 } + \{ ( \frac { 3 } { 2 } + \frac { 3 } { 4 } ) \times [ \frac { 9 } { 21 } \times ( \frac { 11 } { 15 } + \frac { 1 } { 5 } ) ] \times \frac { 5 } { 3 } \} : \frac { 3 } { 2 } }$$

Izrēķināt

$$1$$

Atrisinājuma darbības

Saskaitiet \frac{11}{14} un \frac{1}{4}, lai iegūtu \frac{29}{28}.

$$\sqrt{\frac{4}{5}\left(\frac{29}{28}-\left(\frac{3}{14}+\frac{5}{4}-\frac{3}{7}\right)\right)^{3}+\frac{\left(\frac{3}{2}+\frac{3}{4}\right)\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

Saskaitiet \frac{3}{14} un \frac{5}{4}, lai iegūtu \frac{41}{28}.

$$\sqrt{\frac{4}{5}\left(\frac{29}{28}-\left(\frac{41}{28}-\frac{3}{7}\right)\right)^{3}+\frac{\left(\frac{3}{2}+\frac{3}{4}\right)\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

Atņemiet \frac{3}{7} no \frac{41}{28}, lai iegūtu \frac{29}{28}.

$$\sqrt{\frac{4}{5}\left(\frac{29}{28}-\frac{29}{28}\right)^{3}+\frac{\left(\frac{3}{2}+\frac{3}{4}\right)\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

Atņemiet \frac{29}{28} no \frac{29}{28}, lai iegūtu 0.

$$\sqrt{\frac{4}{5}\times 0^{3}+\frac{\left(\frac{3}{2}+\frac{3}{4}\right)\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

Aprēķiniet 0 pakāpē 3 un iegūstiet 0.

$$\sqrt{\frac{4}{5}\times 0+\frac{\left(\frac{3}{2}+\frac{3}{4}\right)\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

Reiziniet \frac{4}{5} un 0, lai iegūtu 0.

$$\sqrt{0+\frac{\left(\frac{3}{2}+\frac{3}{4}\right)\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

Saskaitiet \frac{3}{2} un \frac{3}{4}, lai iegūtu \frac{9}{4}.

$$\sqrt{0+\frac{\frac{9}{4}\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

Vienādot daļskaitli \frac{9}{21} līdz mazākajam loceklim, izvelkot un saīsinot 3.

$$\sqrt{0+\frac{\frac{9}{4}\times \frac{3}{7}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

Reiziniet \frac{9}{4} un \frac{3}{7}, lai iegūtu \frac{27}{28}.

$$\sqrt{0+\frac{\frac{27}{28}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

Saskaitiet \frac{11}{15} un \frac{1}{5}, lai iegūtu \frac{14}{15}.

$$\sqrt{0+\frac{\frac{27}{28}\times \frac{14}{15}\times \frac{5}{3}}{\frac{3}{2}}}$$

Reiziniet \frac{27}{28} un \frac{14}{15}, lai iegūtu \frac{9}{10}.

$$\sqrt{0+\frac{\frac{9}{10}\times \frac{5}{3}}{\frac{3}{2}}}$$

Reiziniet \frac{9}{10} un \frac{5}{3}, lai iegūtu \frac{3}{2}.

$$\sqrt{0+\frac{\frac{3}{2}}{\frac{3}{2}}}$$

Daliet \frac{3}{2} ar \frac{3}{2}, lai iegūtu 1.

$$\sqrt{0+1}$$

Saskaitiet 0 un 1, lai iegūtu 1.

$$\sqrt{1}$$

Aprēķināt kvadrātsakni no 1 un iegūt 1.

$$1$$

Sadalīt reizinātājos

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