Solve 1/2*3.14sqrt{3*27*10^-6}

$$\frac { 1 } { 2 \times 3.14 \sqrt { 3 \times 27 \times 10 ^ { - 6 } } }$$

Evaluate

$$\frac{25000}{1413}\approx 17.692852088$$

Solution Steps

Multiply 2 and 3.14 to get 6.28.

$$\frac{1}{6.28\sqrt{3\times 27\times 10^{-6}}}$$

Multiply 3 and 27 to get 81.

$$\frac{1}{6.28\sqrt{81\times 10^{-6}}}$$

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

$$\frac{1}{6.28\sqrt{81\times \frac{1}{1000000}}}$$

Multiply 81 and \frac{1}{1000000} to get \frac{81}{1000000}.

$$\frac{1}{6.28\sqrt{\frac{81}{1000000}}}$$

Rewrite the square root of the division \frac{81}{1000000} as the division of square roots \frac{\sqrt{81}}{\sqrt{1000000}}. Take the square root of both numerator and denominator.

$$\frac{1}{6.28\times \frac{9}{1000}}$$

Multiply 6.28 and \frac{9}{1000} to get \frac{1413}{25000}.

$$\frac{1}{\frac{1413}{25000}}$$

Divide 1 by \frac{1413}{25000} by multiplying 1 by the reciprocal of \frac{1413}{25000}.

$$1\times \frac{25000}{1413}$$

Multiply 1 and \frac{25000}{1413} to get \frac{25000}{1413}.

$$\frac{25000}{1413}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {5}}{157 \cdot 3 ^ {2}} = 17\frac{979}{1413} = 17.692852087756545$$