Solve 72*2/3sqrt{3}

$$72 \times \frac { 2 } { 3 \sqrt { 3 } }$$

Evaluate

$$16\sqrt{3}\approx 27.712812921$$

Solution Steps

Rationalize the denominator of \frac{2}{3\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$72\times \frac{2\sqrt{3}}{3\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$72\times \frac{2\sqrt{3}}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$72\times \frac{2\sqrt{3}}{9}$$

Cancel out 9, the greatest common factor in 72 and 9.

$$8\times 2\sqrt{3}$$

Multiply 8 and 2 to get 16.

$$16\sqrt{3}$$