Solve 13000/sqrt{3*220*0.80}

$$\frac{ 13000 }{ \sqrt{ 3 } \times 220 \times 0.80 }$$

Evaluate

$$\frac{1625\sqrt{3}}{66}\approx 42.645190338$$

Solution Steps

Multiply 0.8 and 220 to get 176.

$$\frac{13000}{176\sqrt{3}}$$

Rationalize the denominator of \frac{13000}{176\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{13000\sqrt{3}}{176\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{13000\sqrt{3}}{176\times 3}$$

Cancel out 8 in both numerator and denominator.

$$\frac{1625\sqrt{3}}{3\times 22}$$

Multiply 3 and 22 to get 66.

$$\frac{1625\sqrt{3}}{66}$$