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

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

Evaluate

$$144$$

Solution Steps

Multiply \sqrt{2} and \sqrt{2} to get 2.

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

Multiply 2 and 3 to get 6.

$$\left(6\times 2\right)^{2}$$

Multiply 6 and 2 to get 12.

$$12^{2}$$

Calculate 12 to the power of 2 and get 144.

$$144$$

Factor

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