Solve 22*1000/sqrt{3*400}

$$\frac{ 22 \times 1000 }{ \sqrt{ 3 } \times 400 }$$

Evaluate

$$\frac{55\sqrt{3}}{3}\approx 31.754264805$$

Solution Steps

Cancel out 2\times 200 in both numerator and denominator.

$$\frac{5\times 11}{\sqrt{3}}$$

Multiply 5 and 11 to get 55.

$$\frac{55}{\sqrt{3}}$$

Rationalize the denominator of \frac{55}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{55\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{55\sqrt{3}}{3}$$