Atrisiniet sqrt{{8/3-1/2-[(1+1/3)^2:4/3+frac{1}{5}]*frac{5}{46}+(2-frac{1}{4})}:frac{3}{5}}

$$\sqrt { \{ \frac { 8 } { 3 } - \frac { 1 } { 2 } - [ ( 1 + \frac { 1 } { 3 } ) ^ { 2 } : \frac { 4 } { 3 } + \frac { 1 } { 5 } ] \times \frac { 5 } { 46 } + ( 2 - \frac { 1 } { 4 } ) \} : \frac { 3 } { 5 } }$$

Izrēķināt

$$\frac{5}{2}=2,5$$

Atrisinājuma darbības

Atņemiet \frac{1}{2} no \frac{8}{3}, lai iegūtu \frac{13}{6}.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{\left(1+\frac{1}{3}\right)^{2}}{\frac{4}{3}}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

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

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{\left(\frac{4}{3}\right)^{2}}{\frac{4}{3}}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Aprēķiniet \frac{4}{3} pakāpē 2 un iegūstiet \frac{16}{9}.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{\frac{16}{9}}{\frac{4}{3}}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Daliet \frac{16}{9} ar \frac{4}{3}, reizinot \frac{16}{9} ar apgriezto daļskaitli \frac{4}{3} .

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{16}{9}\times \frac{3}{4}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Reiziniet \frac{16}{9} un \frac{3}{4}, lai iegūtu \frac{4}{3}.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{4}{3}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Saskaitiet \frac{4}{3} un \frac{1}{5}, lai iegūtu \frac{23}{15}.

$$\sqrt{\frac{\frac{13}{6}-\frac{23}{15}\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Reiziniet \frac{23}{15} un \frac{5}{46}, lai iegūtu \frac{1}{6}.

$$\sqrt{\frac{\frac{13}{6}-\frac{1}{6}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Atņemiet \frac{1}{6} no \frac{13}{6}, lai iegūtu 2.

$$\sqrt{\frac{2+2-\frac{1}{4}}{\frac{3}{5}}}$$

Saskaitiet 2 un 2, lai iegūtu 4.

$$\sqrt{\frac{4-\frac{1}{4}}{\frac{3}{5}}}$$

Atņemiet \frac{1}{4} no 4, lai iegūtu \frac{15}{4}.

$$\sqrt{\frac{\frac{15}{4}}{\frac{3}{5}}}$$

Daliet \frac{15}{4} ar \frac{3}{5}, reizinot \frac{15}{4} ar apgriezto daļskaitli \frac{3}{5} .

$$\sqrt{\frac{15}{4}\times \frac{5}{3}}$$

Reiziniet \frac{15}{4} un \frac{5}{3}, lai iegūtu \frac{25}{4}.

$$\sqrt{\frac{25}{4}}$$

Pārrakstiet dalījuma kvadrātsakni \frac{25}{4} kā kvadrātveida saknes \frac{\sqrt{25}}{\sqrt{4}}. Izrēķiniet gan skaitītāja, gan saucēja kvadrātsakni.

$$\frac{5}{2}$$

Sadalīt reizinātājos

$$\frac{5}{2} = 2\frac{1}{2} = 2,5$$