Solve 2(24sqrt{2})^2=

$$2 ( 24 \sqrt { 2 } ) ^ { 2 } =$$

Evaluate

$$2304$$

Solution Steps

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

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

Calculate 24 to the power of 2 and get 576.

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

The square of \sqrt{2} is 2.

$$2\times 576\times 2$$

Multiply 576 and 2 to get 1152.

$$2\times 1152$$

Multiply 2 and 1152 to get 2304.

$$2304$$

Factor

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