Solve 4/sqrt{3}*2

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

Evaluate

$$\frac{8\sqrt{3}}{3}\approx 4.618802154$$

Solution Steps

Rationalize the denominator of \frac{4}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$2\times \frac{4\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

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

Express 2\times \frac{4\sqrt{3}}{3} as a single fraction.

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

Multiply 2 and 4 to get 8.

$$\frac{8\sqrt{3}}{3}$$