Solve 2*3.14sqrt{0.625/10}

$$2 \times 3.14 \sqrt{ \frac{ 0.625 }{ 10 } }$$

Evaluate

$$1.57$$

Solution Steps

Multiply 2 and 3.14 to get 6.28.

$$6.28\sqrt{\frac{0.625}{10}}$$

Expand \frac{0.625}{10} by multiplying both numerator and the denominator by 1000.

$$6.28\sqrt{\frac{625}{10000}}$$

Reduce the fraction \frac{625}{10000} to lowest terms by extracting and canceling out 625.

$$6.28\sqrt{\frac{1}{16}}$$

Rewrite the square root of the division \frac{1}{16} as the division of square roots \frac{\sqrt{1}}{\sqrt{16}}. Take the square root of both numerator and denominator.

$$6.28\times \frac{1}{4}$$

Convert decimal number 6.28 to fraction \frac{628}{100}. Reduce the fraction \frac{628}{100} to lowest terms by extracting and canceling out 4.

$$\frac{157}{25}\times \frac{1}{4}$$

Multiply \frac{157}{25} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 1}{25\times 4}$$

Do the multiplications in the fraction \frac{157\times 1}{25\times 4}.

$$\frac{157}{100}$$

Factor

$$\frac{157}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{57}{100} = 1.57$$