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

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

Avaliar

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

Passos Para a Resolução

Calcule 0,05 elevado a 2 e obtenha 0,0025.

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

Multiplique 1,2566 e 0,0025 para obter 0,0031415.

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

Calcule 10 elevado a -6 e obtenha \frac{1}{1000000}.

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

Multiplique 0,0031415 e \frac{1}{1000000} para obter \frac{6283}{2000000000000}.

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

Multiplique 8 e 1,58 para obter 12,64.

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

Multiplique 12,64 e 154 para obter 1946,56.

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

Racionalize o denominador de \frac{1946,56}{0,2\sqrt{123}} ao multiplicar o 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 quadrado de \sqrt{123} é 123.

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

Multiplique 0,2 e 123 para obter 24,6.

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

Dividir 1946,56\sqrt{123} por 24,6 para obter \frac{48664}{615}\sqrt{123}.

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

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

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

Racionalize o denominador de \frac{2}{\frac{38219489}{153750000000000}\sqrt{123}} ao multiplicar o numerador e o denominador por \sqrt{123}.

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

O quadrado de \sqrt{123} é 123.

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

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

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

Divida 2\sqrt{123} por \frac{38219489}{1250000000000} ao multiplicar 2\sqrt{123} pelo recíproco de \frac{38219489}{1250000000000}.

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

Multiplique 2 e 1250000000000 para obter 2500000000000.

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