Resolver 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 da solución

Calcula 0.05 á potencia de 2 e obtén 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 e 0.0025 para obter 0.0031415.

$$\frac{2}{0.0031415\times 10^{-6}\times \frac{8\times 1.58\times 154}{0.2\sqrt{123}}}$$

Calcula 10 á potencia de -6 e obtén \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 e \frac{1}{1000000} para obter \frac{6283}{2000000000000}.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{8\times 1.58\times 154}{0.2\sqrt{123}}}$$

Multiplica 8 e 1.58 para obter 12.64.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{12.64\times 154}{0.2\sqrt{123}}}$$

Multiplica 12.64 e 154 para obter 1946.56.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946.56}{0.2\sqrt{123}}}$$

Racionaliza o denominador de \frac{1946.56}{0.2\sqrt{123}} mediante a multiplicación do numerador e o denominador por \sqrt{123}.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946.56\sqrt{123}}{0.2\left(\sqrt{123}\right)^{2}}}$$

O cadrado de \sqrt{123} é 123.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946.56\sqrt{123}}{0.2\times 123}}$$

Multiplica 0.2 e 123 para obter 24.6.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946.56\sqrt{123}}{24.6}}$$

Divide 1946.56\sqrt{123} entre 24.6 para obter \frac{48664}{615}\sqrt{123}.

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

Multiplica \frac{6283}{2000000000000} e \frac{48664}{615} para obter \frac{38219489}{153750000000000}.

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

Racionaliza o denominador de \frac{2}{\frac{38219489}{153750000000000}\sqrt{123}} mediante a multiplicación do numerador e o denominador por \sqrt{123}.

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

O cadrado de \sqrt{123} é 123.

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

Multiplica \frac{38219489}{153750000000000} e 123 para obter \frac{38219489}{1250000000000}.

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

Divide 2\sqrt{123} entre \frac{38219489}{1250000000000} mediante a multiplicación de 2\sqrt{123} polo recíproco de \frac{38219489}{1250000000000}.

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

Multiplica 2 e 1250000000000 para obter 2500000000000.

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