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

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

Evaluate

$$\frac{2500000000000\sqrt{123}}{38219489}\approx 725450.339381135$$

Solution Steps

Calculate 0.05 to the power of 2 and get 0.0025.

$$\frac{2}{1.2566\times 0.0025\times 10^{-6}\times \frac{8\times 1.58\times 154}{0.2\sqrt{123}}}$$

Multiply 1.2566 and 0.0025 to get 0.0031415.

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

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{2}{0.0031415\times \frac{1}{1000000}\times \frac{8\times 1.58\times 154}{0.2\sqrt{123}}}$$

Multiply 0.0031415 and \frac{1}{1000000} to get \frac{6283}{2000000000000}.

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

Multiply 8 and 1.58 to get 12.64.

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

Multiply 12.64 and 154 to get 1946.56.

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

Rationalize the denominator of \frac{1946.56}{0.2\sqrt{123}} by multiplying numerator and denominator by \sqrt{123}.

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

The square of \sqrt{123} is 123.

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

Multiply 0.2 and 123 to get 24.6.

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

Divide 1946.56\sqrt{123} by 24.6 to get \frac{48664}{615}\sqrt{123}.

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

Multiply \frac{6283}{2000000000000} and \frac{48664}{615} to get \frac{38219489}{153750000000000}.

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

Rationalize the denominator of \frac{2}{\frac{38219489}{153750000000000}\sqrt{123}} by multiplying numerator and denominator by \sqrt{123}.

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

The square of \sqrt{123} is 123.

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

Multiply \frac{38219489}{153750000000000} and 123 to get \frac{38219489}{1250000000000}.

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

Divide 2\sqrt{123} by \frac{38219489}{1250000000000} by multiplying 2\sqrt{123} by the reciprocal of \frac{38219489}{1250000000000}.

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

Multiply 2 and 1250000000000 to get 2500000000000.

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