Solve {left(24sqrt{2}right)}^2-4*16*18

$${ \left(24 \sqrt{ 2 } \right) }^{ 2 } -4 \times 16 \times 18$$

Evaluate

$$0$$

Solution Steps

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

$$24^{2}\left(\sqrt{2}\right)^{2}-4\times 16\times 18$$

Calculate 24 to the power of 2 and get 576.

$$576\left(\sqrt{2}\right)^{2}-4\times 16\times 18$$

The square of \sqrt{2} is 2.

$$576\times 2-4\times 16\times 18$$

Multiply 576 and 2 to get 1152.

$$1152-4\times 16\times 18$$

Multiply 4 and 16 to get 64.

$$1152-64\times 18$$

Multiply 64 and 18 to get 1152.

$$1152-1152$$

Subtract 1152 from 1152 to get 0.

$$0$$

Factor

$$0$$