Solve 90*frac{{left(3sqrt{2}right)}^2}{360}

$$90 \times \frac{ { \left(3 \sqrt{ 2 } \right) }^{ 2 } }{ 360 }$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

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

$$90\times \frac{3^{2}\left(\sqrt{2}\right)^{2}}{360}$$

Calculate 3 to the power of 2 and get 9.

$$90\times \frac{9\left(\sqrt{2}\right)^{2}}{360}$$

The square of \sqrt{2} is 2.

$$90\times \frac{9\times 2}{360}$$

Multiply 9 and 2 to get 18.

$$90\times \frac{18}{360}$$

Reduce the fraction \frac{18}{360} to lowest terms by extracting and canceling out 18.

$$90\times \frac{1}{20}$$

Multiply 90 and \frac{1}{20} to get \frac{9}{2}.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$