Solve 5.8*10^3/1.732*220*0.78*0.82

$$\frac{ 5.8 \times { 10 }^{ 3 } }{ 1.732 \times 220 \times 0.78 \times 0.82 }$$

Evaluate

$$\frac{181250000}{7616037}\approx 23.798466315$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{5.8\times 1000}{1.732\times 220\times 0.78\times 0.82}$$

Multiply 5.8 and 1000 to get 5800.

$$\frac{5800}{1.732\times 220\times 0.78\times 0.82}$$

Multiply 1.732 and 220 to get 381.04.

$$\frac{5800}{381.04\times 0.78\times 0.82}$$

Multiply 381.04 and 0.78 to get 297.2112.

$$\frac{5800}{297.2112\times 0.82}$$

Multiply 297.2112 and 0.82 to get 243.713184.

$$\frac{5800}{243.713184}$$

Expand \frac{5800}{243.713184} by multiplying both numerator and the denominator by 1000000.

$$\frac{5800000000}{243713184}$$

Reduce the fraction \frac{5800000000}{243713184} to lowest terms by extracting and canceling out 32.

$$\frac{181250000}{7616037}$$

Factor

$$\frac{29 \cdot 2 ^ {4} \cdot 5 ^ {8}}{3 \cdot 11 \cdot 13 \cdot 41 \cdot 433} = 23\frac{6081149}{7616037} = 23.798466315224047$$