Solve 500*10^6/sqrt{3*(11*1000)}

$$\frac { 500 \times 10 ^ { 6 } } { \sqrt { 3 } \times ( 11 \times 1000 ) }$$

Evaluate

$$\frac{500000\sqrt{3}}{33}\approx 26243.194054074$$

Solution Steps

Cancel out 500 in both numerator and denominator.

$$\frac{10^{6}}{2\times 11\sqrt{3}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{1000000}{2\times 11\sqrt{3}}$$

Multiply 2 and 11 to get 22.

$$\frac{1000000}{22\sqrt{3}}$$

Rationalize the denominator of \frac{1000000}{22\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{1000000\sqrt{3}}{22\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{1000000\sqrt{3}}{22\times 3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{500000\sqrt{3}}{3\times 11}$$

Multiply 3 and 11 to get 33.

$$\frac{500000\sqrt{3}}{33}$$