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

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

Calcular

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

Pasos de la solución

Calcula 0,05 a la potencia de 2 y obtiene 0,0025.

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

Multiplica 1,2566 y 0,0025 para obtener 0,0031415.

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

Calcula 10 a la potencia de -6 y obtiene \frac{1}{1000000}.

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

Multiplica 0,0031415 y \frac{1}{1000000} para obtener \frac{6283}{2000000000000}.

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

Multiplica 8 y 1,58 para obtener 12,64.

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

Multiplica 12,64 y 154 para obtener 1946,56.

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

Racionaliza el denominador de \frac{1946,56}{0,2\sqrt{123}} multiplicando el numerador y el denominador \sqrt{123}.

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

El cuadrado de \sqrt{123} es 123.

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

Multiplica 0,2 y 123 para obtener 24,6.

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

Divide 1946,56\sqrt{123} entre 24,6 para obtener \frac{48664}{615}\sqrt{123}.

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

Multiplica \frac{6283}{2000000000000} y \frac{48664}{615} para obtener \frac{38219489}{153750000000000}.

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

Racionaliza el denominador de \frac{2}{\frac{38219489}{153750000000000}\sqrt{123}} multiplicando el numerador y el denominador \sqrt{123}.

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

El cuadrado de \sqrt{123} es 123.

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

Multiplica \frac{38219489}{153750000000000} y 123 para obtener \frac{38219489}{1250000000000}.

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

Divide 2\sqrt{123} por \frac{38219489}{1250000000000} al multiplicar 2\sqrt{123} por el recíproco de \frac{38219489}{1250000000000}.

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

Multiplica 2 y 1250000000000 para obtener 2500000000000.

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