Solve 59.6/0.22*sqrt{3}

$$\frac{ 59.6 }{ 0.22 \times \sqrt{ 3 } }$$

Evaluate

$$\frac{2980\sqrt{3}}{33}\approx 156.409436562$$

Solution Steps

Rationalize the denominator of \frac{59.6}{0.22\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{59.6\sqrt{3}}{0.22\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{59.6\sqrt{3}}{0.22\times 3}$$

Multiply 0.22 and 3 to get 0.66.

$$\frac{59.6\sqrt{3}}{0.66}$$

Divide 59.6\sqrt{3} by 0.66 to get \frac{2980}{33}\sqrt{3}.

$$\frac{2980}{33}\sqrt{3}$$