Solve {left(2sqrt{3}right)}^2-2^2

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

Evaluate

$$8$$

Solution Steps

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

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

Calculate 2 to the power of 2 and get 4.

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

The square of \sqrt{3} is 3.

$$4\times 3-2^{2}$$

Multiply 4 and 3 to get 12.

$$12-2^{2}$$

Calculate 2 to the power of 2 and get 4.

$$12-4$$

Subtract 4 from 12 to get 8.

$$8$$

Factor

$$2^{3}$$