Solve 4*{left(24sqrt{3}right)}^2

$$4 \times { \left(24 \sqrt{ 3 } \right) }^{ 2 }$$

Evaluate

$$6912$$

Solution Steps

Expand \left(24\sqrt{3}\right)^{2}.

$$4\times 24^{2}\left(\sqrt{3}\right)^{2}$$

Calculate 24 to the power of 2 and get 576.

$$4\times 576\left(\sqrt{3}\right)^{2}$$

The square of \sqrt{3} is 3.

$$4\times 576\times 3$$

Multiply 576 and 3 to get 1728.

$$4\times 1728$$

Multiply 4 and 1728 to get 6912.

$$6912$$

Factor

$$2^{8}\times 3^{3}$$