Solve 746/sqrt{3*380}

$$\frac{ 746 }{ \sqrt{ 3 } \times 380 }$$

Evaluate

$$\frac{373\sqrt{3}}{570}\approx 1.133429739$$

Solution Steps

Rationalize the denominator of \frac{746}{380\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{746\sqrt{3}}{380\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{746\sqrt{3}}{380\times 3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{373\sqrt{3}}{3\times 190}$$

Multiply 3 and 190 to get 570.

$$\frac{373\sqrt{3}}{570}$$