Solve 91/31/sqrt{3}

$$9 \frac { 1 } { 3 } \frac { 1 } { \sqrt { 3 } }$$

Evaluate

$$\frac{28\sqrt{3}}{9}\approx 5.388602512$$

Solution Steps

Multiply 9 and 3 to get 27.

$$\frac{27+1}{3}\times \frac{1}{\sqrt{3}}$$

Add 27 and 1 to get 28.

$$\frac{28}{3}\times \frac{1}{\sqrt{3}}$$

Rationalize the denominator of \frac{1}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{28}{3}\times \frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{28}{3}\times \frac{\sqrt{3}}{3}$$

Multiply \frac{28}{3} times \frac{\sqrt{3}}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{28\sqrt{3}}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{28\sqrt{3}}{9}$$