Solve 500*1000/left(sqrt{3*600right)}

$$\frac{ 500 \times 1000 }{ \left( \sqrt{ 3 } \times 600 \right) }$$

Evaluate

$$\frac{2500\sqrt{3}}{9}\approx 481.125224325$$

Solution Steps

Cancel out 2\times 100 in both numerator and denominator.

$$\frac{5\times 500}{3\sqrt{3}}$$

Multiply 5 and 500 to get 2500.

$$\frac{2500}{3\sqrt{3}}$$

Rationalize the denominator of \frac{2500}{3\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{2500\sqrt{3}}{3\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{2500\sqrt{3}}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{2500\sqrt{3}}{9}$$