Atrisiniet sqrt[5]{frac{1/32}:(2/3)^-1}{(1-1/3)2/4+frac{1}{2}}+frac{sqrt{1-frac{16}{25}}}{frac{4}{5}:(frac{15}{2})^1}=

$$\frac { \sqrt[ 5 ] { \frac { 1 } { 32 } } : ( \frac { 2 } { 3 } ) ^ { - 1 } } { ( 1 - \frac { 1 } { 3 } ) \frac { 2 } { 4 } + \frac { 1 } { 2 } } + \frac { \sqrt { 1 - \frac { 16 } { 25 } } } { \frac { 4 } { 5 } : ( \frac { 15 } { 2 } ) ^ { 1 } } =$$

Izrēķināt

$$\frac{241}{40}=6,025$$

Atrisinājuma darbības

Aprēķināt \sqrt[5]{\frac{1}{32}} un iegūt \frac{1}{2}.

$$\frac{\frac{\frac{1}{2}}{\left(\frac{2}{3}\right)^{-1}}}{\left(1-\frac{1}{3}\right)\times \frac{2}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Aprēķiniet \frac{2}{3} pakāpē -1 un iegūstiet \frac{3}{2}.

$$\frac{\frac{\frac{1}{2}}{\frac{3}{2}}}{\left(1-\frac{1}{3}\right)\times \frac{2}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

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

$$\frac{\frac{1}{2}\times \frac{2}{3}}{\left(1-\frac{1}{3}\right)\times \frac{2}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

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

$$\frac{\frac{1}{3}}{\left(1-\frac{1}{3}\right)\times \frac{2}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

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

$$\frac{\frac{1}{3}}{\frac{2}{3}\times \frac{2}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Vienādot daļskaitli \frac{2}{4} līdz mazākajam loceklim, izvelkot un saīsinot 2.

$$\frac{\frac{1}{3}}{\frac{2}{3}\times \frac{1}{2}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

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

$$\frac{\frac{1}{3}}{\frac{1}{3}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Saskaitiet \frac{1}{3} un \frac{1}{2}, lai iegūtu \frac{5}{6}.

$$\frac{\frac{1}{3}}{\frac{5}{6}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Daliet \frac{1}{3} ar \frac{5}{6}, reizinot \frac{1}{3} ar apgriezto daļskaitli \frac{5}{6} .

$$\frac{1}{3}\times \frac{6}{5}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Reiziniet \frac{1}{3} un \frac{6}{5}, lai iegūtu \frac{2}{5}.

$$\frac{2}{5}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Atņemiet \frac{16}{25} no 1, lai iegūtu \frac{9}{25}.

$$\frac{2}{5}+\frac{\sqrt{\frac{9}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Pārrakstiet dalījuma kvadrātsakni \frac{9}{25} kā kvadrātveida saknes \frac{\sqrt{9}}{\sqrt{25}}. Izrēķiniet gan skaitītāja, gan saucēja kvadrātsakni.

$$\frac{2}{5}+\frac{\frac{3}{5}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Aprēķiniet \frac{15}{2} pakāpē 1 un iegūstiet \frac{15}{2}.

$$\frac{2}{5}+\frac{\frac{3}{5}}{\frac{\frac{4}{5}}{\frac{15}{2}}}$$

Daliet \frac{4}{5} ar \frac{15}{2}, reizinot \frac{4}{5} ar apgriezto daļskaitli \frac{15}{2} .

$$\frac{2}{5}+\frac{\frac{3}{5}}{\frac{4}{5}\times \frac{2}{15}}$$

Reiziniet \frac{4}{5} un \frac{2}{15}, lai iegūtu \frac{8}{75}.

$$\frac{2}{5}+\frac{\frac{3}{5}}{\frac{8}{75}}$$

Daliet \frac{3}{5} ar \frac{8}{75}, reizinot \frac{3}{5} ar apgriezto daļskaitli \frac{8}{75} .

$$\frac{2}{5}+\frac{3}{5}\times \frac{75}{8}$$

Reiziniet \frac{3}{5} un \frac{75}{8}, lai iegūtu \frac{45}{8}.

$$\frac{2}{5}+\frac{45}{8}$$

Saskaitiet \frac{2}{5} un \frac{45}{8}, lai iegūtu \frac{241}{40}.

$$\frac{241}{40}$$

Sadalīt reizinātājos

$$\frac{241}{2 ^ {3} \cdot 5} = 6\frac{1}{40} = 6,025$$