Solve 6900/sqrt{3}div3.1

$$\frac{ 6900 }{ \sqrt{ 3 } } \div 3.1$$

Evaluate

$$\frac{23000\sqrt{3}}{31}\approx 1285.069954003$$

Solution Steps

Express \frac{\frac{6900}{\sqrt{3}}}{3.1} as a single fraction.

$$\frac{6900}{\sqrt{3}\times 3.1}$$

Rationalize the denominator of \frac{6900}{\sqrt{3}\times 3.1} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{6900\sqrt{3}}{\left(\sqrt{3}\right)^{2}\times 3.1}$$

The square of \sqrt{3} is 3.

$$\frac{6900\sqrt{3}}{3\times 3.1}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2300\sqrt{3}}{3.1}$$

Divide 2300\sqrt{3} by 3.1 to get \frac{23000}{31}\sqrt{3}.

$$\frac{23000}{31}\sqrt{3}$$