Rešite 1/3*22/7*14[(35/2)^2+(38^2/2)^2+(frac{35}{2}*frac{30}{2})]

$$\frac { 1 } { 3 } \times \frac { 22 } { 7 } \times 14 [ ( \frac { 35 } { 2 } ) ^ { 2 } + ( \frac { 38 ^ { 2 } } { 2 } ) ^ { 2 } + ( \frac { 35 } { 2 } \times \frac { 30 } { 2 } ) ]$$

Ovrednoti

$$\frac{22961521}{3}\approx 7653840,333333333$$

Koraki rešitve

Pomnožite \frac{1}{3} in \frac{22}{7}, da dobite \frac{22}{21}.

$$\frac{22}{21}\times 14\left(\left(\frac{35}{2}\right)^{2}+\left(\frac{38^{2}}{2}\right)^{2}+\frac{35}{2}\times \frac{30}{2}\right)$$

Pomnožite \frac{22}{21} in 14, da dobite \frac{44}{3}.

$$\frac{44}{3}\left(\left(\frac{35}{2}\right)^{2}+\left(\frac{38^{2}}{2}\right)^{2}+\frac{35}{2}\times \frac{30}{2}\right)$$

Izračunajte potenco \frac{35}{2} števila 2, da dobite \frac{1225}{4}.

$$\frac{44}{3}\left(\frac{1225}{4}+\left(\frac{38^{2}}{2}\right)^{2}+\frac{35}{2}\times \frac{30}{2}\right)$$

Izračunajte potenco 38 števila 2, da dobite 1444.

$$\frac{44}{3}\left(\frac{1225}{4}+\left(\frac{1444}{2}\right)^{2}+\frac{35}{2}\times \frac{30}{2}\right)$$

Delite 1444 s/z 2, da dobite 722.

$$\frac{44}{3}\left(\frac{1225}{4}+722^{2}+\frac{35}{2}\times \frac{30}{2}\right)$$

Izračunajte potenco 722 števila 2, da dobite 521284.

$$\frac{44}{3}\left(\frac{1225}{4}+521284+\frac{35}{2}\times \frac{30}{2}\right)$$

Seštejte \frac{1225}{4} in 521284, da dobite \frac{2086361}{4}.

$$\frac{44}{3}\left(\frac{2086361}{4}+\frac{35}{2}\times \frac{30}{2}\right)$$

Delite 30 s/z 2, da dobite 15.

$$\frac{44}{3}\left(\frac{2086361}{4}+\frac{35}{2}\times 15\right)$$

Pomnožite \frac{35}{2} in 15, da dobite \frac{525}{2}.

$$\frac{44}{3}\left(\frac{2086361}{4}+\frac{525}{2}\right)$$

Seštejte \frac{2086361}{4} in \frac{525}{2}, da dobite \frac{2087411}{4}.

$$\frac{44}{3}\times \frac{2087411}{4}$$

Pomnožite \frac{44}{3} in \frac{2087411}{4}, da dobite \frac{22961521}{3}.

$$\frac{22961521}{3}$$

Faktoriziraj

$$\frac{11 \cdot 23 \cdot 47 \cdot 1931}{3} = 7653840\frac{1}{3} = 7653840,333333333$$