Solve 12/sqrt{3}*frac{sqrt{3}}{sqrt{3}}

$$\frac { 12 } { \sqrt { 3 } } \times \frac { \sqrt { 3 } } { \sqrt { 3 } }$$

Evaluate

$$4\sqrt{3}\approx 6.92820323$$

Solution Steps

Divide \sqrt{3} by \sqrt{3} to get 1.

$$\frac{12}{\sqrt{3}}\times 1$$

Rationalize the denominator of \frac{12}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{12\sqrt{3}}{\left(\sqrt{3}\right)^{2}}\times 1$$

The square of \sqrt{3} is 3.

$$\frac{12\sqrt{3}}{3}\times 1$$

Divide 12\sqrt{3} by 3 to get 4\sqrt{3}.

$$4\sqrt{3}\times 1$$

Multiply 4 and 1 to get 4.

$$4\sqrt{3}$$