Solve 4/2sqrt{3/3}

$$\frac{ 4 }{ \frac{ 2 \sqrt{ 3 } }{ 3 } }$$

Evaluate

$$2\sqrt{3}\approx 3.464101615$$

Solution Steps

Divide 4 by \frac{2\sqrt{3}}{3} by multiplying 4 by the reciprocal of \frac{2\sqrt{3}}{3}.

$$\frac{4\times 3}{2\sqrt{3}}$$

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 3 to get 6.

$$\frac{6}{\sqrt{3}}$$

Rationalize the denominator of \frac{6}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{6\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{6\sqrt{3}}{3}$$

Divide 6\sqrt{3} by 3 to get 2\sqrt{3}.

$$2\sqrt{3}$$