Solve (2sqrt{3})^2+(2sqrt{3})^2

$$( 2 \sqrt { 3 } ) ^ { 2 } + ( 2 \sqrt { 3 } ) ^ { 2 }$$

Evaluate

$$24$$

Solution Steps

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

$$2^{2}\left(\sqrt{3}\right)^{2}+\left(2\sqrt{3}\right)^{2}$$

Calculate 2 to the power of 2 and get 4.

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

The square of \sqrt{3} is 3.

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

Multiply 4 and 3 to get 12.

$$12+\left(2\sqrt{3}\right)^{2}$$

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

$$12+2^{2}\left(\sqrt{3}\right)^{2}$$

Calculate 2 to the power of 2 and get 4.

$$12+4\left(\sqrt{3}\right)^{2}$$

The square of \sqrt{3} is 3.

$$12+4\times 3$$

Multiply 4 and 3 to get 12.

$$12+12$$

Add 12 and 12 to get 24.

$$24$$

Factor

$$2^{3}\times 3$$