Solve 3/sqrt{3}div4.73div4.73=

$$\frac{ 3 }{ \sqrt{ 3 } } \div 4.73 \div 4.73=$$

Evaluate

$$\frac{10000\sqrt{3}}{223729}\approx 0.077417358$$

Solution Steps

Express \frac{\frac{\frac{3}{\sqrt{3}}}{4.73}}{4.73} as a single fraction.

$$\frac{\frac{3}{\sqrt{3}}}{4.73\times 4.73}$$

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

$$\frac{\frac{3\sqrt{3}}{\left(\sqrt{3}\right)^{2}}}{4.73\times 4.73}$$

The square of \sqrt{3} is 3.

$$\frac{\frac{3\sqrt{3}}{3}}{4.73\times 4.73}$$

Cancel out 3 and 3.

$$\frac{\sqrt{3}}{4.73\times 4.73}$$

Multiply 4.73 and 4.73 to get 22.3729.

$$\frac{\sqrt{3}}{22.3729}$$