Solve 40*10^3/sqrt{3*220}

$$\frac { 40 \times 10 ^ { 3 } } { \sqrt { 3 } \times 220 }$$

Evaluate

$$\frac{2000\sqrt{3}}{33}\approx 104.972776216$$

Solution Steps

Cancel out 20 in both numerator and denominator.

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

Calculate 10 to the power of 3 and get 1000.

$$\frac{2\times 1000}{11\sqrt{3}}$$

Multiply 2 and 1000 to get 2000.

$$\frac{2000}{11\sqrt{3}}$$

Rationalize the denominator of \frac{2000}{11\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{2000\sqrt{3}}{11\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{2000\sqrt{3}}{11\times 3}$$

Multiply 11 and 3 to get 33.

$$\frac{2000\sqrt{3}}{33}$$