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

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

Evaluate

$$\frac{8800000\sqrt{3}}{3}\approx 5080682.368868706$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{40\times 1000}{\frac{\sqrt{3}}{220}}$$

Multiply 40 and 1000 to get 40000.

$$\frac{40000}{\frac{\sqrt{3}}{220}}$$

Divide 40000 by \frac{\sqrt{3}}{220} by multiplying 40000 by the reciprocal of \frac{\sqrt{3}}{220}.

$$\frac{40000\times 220}{\sqrt{3}}$$

Rationalize the denominator of \frac{40000\times 220}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{40000\times 220\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{40000\times 220\sqrt{3}}{3}$$

Multiply 40000 and 220 to get 8800000.

$$\frac{8800000\sqrt{3}}{3}$$