Réitigh 7div2-[21div4div((2+5)*(25div8)div(5div2))^2]

$$7 \div 2 - [ 21 \div 4 \div ( ( 2 + 5 ) \times ( 25 \div 8 ) \div ( 5 \div 2 ) ) ^ { 2 } ]$$

Luacháil

$$\frac{1201}{350}\approx 3.431428571$$

Céimeanna Réitigh

Suimigh 2 agus 5 chun 7 a fháil.

$$\frac{7}{2}-\frac{\frac{21}{4}}{\left(\frac{7\times \frac{25}{8}}{\frac{5}{2}}\right)^{2}}$$

Méadaigh 7 agus \frac{25}{8} chun \frac{175}{8} a fháil.

$$\frac{7}{2}-\frac{\frac{21}{4}}{\left(\frac{\frac{175}{8}}{\frac{5}{2}}\right)^{2}}$$

Roinn \frac{175}{8} faoi \frac{5}{2} trí \frac{175}{8} a mhéadú faoi dheilín \frac{5}{2}.

$$\frac{7}{2}-\frac{\frac{21}{4}}{\left(\frac{175}{8}\times \frac{2}{5}\right)^{2}}$$

Méadaigh \frac{175}{8} agus \frac{2}{5} chun \frac{35}{4} a fháil.

$$\frac{7}{2}-\frac{\frac{21}{4}}{\left(\frac{35}{4}\right)^{2}}$$

Ríomh cumhacht \frac{35}{4} de 2 agus faigh \frac{1225}{16}.

$$\frac{7}{2}-\frac{\frac{21}{4}}{\frac{1225}{16}}$$

Roinn \frac{21}{4} faoi \frac{1225}{16} trí \frac{21}{4} a mhéadú faoi dheilín \frac{1225}{16}.

$$\frac{7}{2}-\frac{21}{4}\times \frac{16}{1225}$$

Méadaigh \frac{21}{4} agus \frac{16}{1225} chun \frac{12}{175} a fháil.

$$\frac{7}{2}-\frac{12}{175}$$

Dealaigh \frac{12}{175} ó \frac{7}{2} chun \frac{1201}{350} a fháil.

$$\frac{1201}{350}$$

Fachtóirigh

$$\frac{1201}{2 \cdot 5 ^ {2} \cdot 7} = 3\frac{151}{350} = 3.4314285714285715$$