Solve (2sqrt{3})^2*frac{sqrt{3}}{4}

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

Evaluate

$$3\sqrt{3}\approx 5.196152423$$

Solution Steps

Expand \left(2\sqrt{3}\right)^{2}.

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

Calculate 2 to the power of 2 and get 4.

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

The square of \sqrt{3} is 3.

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

Multiply 4 and 3 to get 12.

$$12\times \frac{\sqrt{3}}{4}$$

Cancel out 4, the greatest common factor in 12 and 4.

$$3\sqrt{3}$$