Resol 2/0.05^2*1.2566*10^-6*frac{8*1.58*154{sqrt{123}*0.2}}

$$\frac { 2 } { 0.05 ^ { 2 } \cdot 1.2566 \cdot 10 ^ { - 6 } \cdot \frac { 8 \cdot 1.58 \cdot 154 } { \sqrt { 123 } \cdot 0.2 } }$$

Calcula

$$\frac{2500000000000\sqrt{123}}{38219489}\approx 725450,339381135$$

Passos de solució

Calculeu 0,05 elevat a 2 per obtenir 0,0025.

$$\frac{2}{1,2566\times 0,0025\times 10^{-6}\times \frac{8\times 1,58\times 154}{0,2\sqrt{123}}}$$

Multipliqueu 1,2566 per 0,0025 per obtenir 0,0031415.

$$\frac{2}{0,0031415\times 10^{-6}\times \frac{8\times 1,58\times 154}{0,2\sqrt{123}}}$$

Calculeu 10 elevat a -6 per obtenir \frac{1}{1000000}.

$$\frac{2}{0,0031415\times \frac{1}{1000000}\times \frac{8\times 1,58\times 154}{0,2\sqrt{123}}}$$

Multipliqueu 0,0031415 per \frac{1}{1000000} per obtenir \frac{6283}{2000000000000}.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{8\times 1,58\times 154}{0,2\sqrt{123}}}$$

Multipliqueu 8 per 1,58 per obtenir 12,64.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{12,64\times 154}{0,2\sqrt{123}}}$$

Multipliqueu 12,64 per 154 per obtenir 1946,56.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946,56}{0,2\sqrt{123}}}$$

Racionalitzeu el denominador de \frac{1946,56}{0,2\sqrt{123}} multiplicant el numerador i el denominador per \sqrt{123}.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946,56\sqrt{123}}{0,2\left(\sqrt{123}\right)^{2}}}$$

L'arrel quadrada de \sqrt{123} és 123.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946,56\sqrt{123}}{0,2\times 123}}$$

Multipliqueu 0,2 per 123 per obtenir 24,6.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946,56\sqrt{123}}{24,6}}$$

Dividiu 1946,56\sqrt{123} entre 24,6 per obtenir \frac{48664}{615}\sqrt{123}.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{48664}{615}\sqrt{123}}$$

Multipliqueu \frac{6283}{2000000000000} per \frac{48664}{615} per obtenir \frac{38219489}{153750000000000}.

$$\frac{2}{\frac{38219489}{153750000000000}\sqrt{123}}$$

Racionalitzeu el denominador de \frac{2}{\frac{38219489}{153750000000000}\sqrt{123}} multiplicant el numerador i el denominador per \sqrt{123}.

$$\frac{2\sqrt{123}}{\frac{38219489}{153750000000000}\left(\sqrt{123}\right)^{2}}$$

L'arrel quadrada de \sqrt{123} és 123.

$$\frac{2\sqrt{123}}{\frac{38219489}{153750000000000}\times 123}$$

Multipliqueu \frac{38219489}{153750000000000} per 123 per obtenir \frac{38219489}{1250000000000}.

$$\frac{2\sqrt{123}}{\frac{38219489}{1250000000000}}$$

Dividiu 2\sqrt{123} per \frac{38219489}{1250000000000} multiplicant 2\sqrt{123} pel recíproc de \frac{38219489}{1250000000000}.

$$\frac{2\sqrt{123}\times 1250000000000}{38219489}$$

Multipliqueu 2 per 1250000000000 per obtenir 2500000000000.

$$\frac{2500000000000\sqrt{123}}{38219489}$$