Solve (-3sqrt{2})^2(36)

$$( - 3 \sqrt { 2 } ) ^ { 2 } ( 36 )$$

Evaluate

$$648$$

Solution Steps

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

$$\left(-3\right)^{2}\left(\sqrt{2}\right)^{2}\times 36$$

Calculate -3 to the power of 2 and get 9.

$$9\left(\sqrt{2}\right)^{2}\times 36$$

The square of \sqrt{2} is 2.

$$9\times 2\times 36$$

Multiply 9 and 2 to get 18.

$$18\times 36$$

Multiply 18 and 36 to get 648.

$$648$$

Factor

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