Solve 0,95*11400/sqrt{3*478*10^-3}

$$\frac { 0,95 \times 11400 } { \sqrt { 3 } \times 478 \times 10 ^ { - 3 } }$$

Evaluate

$$\frac{1805000\sqrt{3}}{239}\approx 13080.969488125$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{0,95\times 5700}{239\sqrt{3}\times 10^{-3}}$$

Multiply 0,95 and 5700 to get 5415.

$$\frac{5415}{239\sqrt{3}\times 10^{-3}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{5415}{239\sqrt{3}\times \frac{1}{1000}}$$

Multiply 239 and \frac{1}{1000} to get \frac{239}{1000}.

$$\frac{5415}{\frac{239}{1000}\sqrt{3}}$$

Rationalize the denominator of \frac{5415}{\frac{239}{1000}\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{5415\sqrt{3}}{\frac{239}{1000}\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{5415\sqrt{3}}{\frac{239}{1000}\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1805\sqrt{3}}{\frac{239}{1000}}$$

Divide 1805\sqrt{3} by \frac{239}{1000} by multiplying 1805\sqrt{3} by the reciprocal of \frac{239}{1000}.

$$\frac{1805\sqrt{3}\times 1000}{239}$$

Multiply 1805 and 1000 to get 1805000.

$$\frac{1805000\sqrt{3}}{239}$$