Solve (22*22*1-1/3*1*(22^2+sqrt{22^2*075^2}+075^2))*2

$$(22 \times 22 \times 1- \frac{ 1 }{ 3 } \times 1 \times ( { 22 }^{ 2 } + \sqrt{ { 22 }^{ 2 } \times { 075 }^{ 2 } } + { 075 }^{ 2 } )) \times 2$$

Evaluate

$$\frac{1936}{3}\approx 645.333333333$$

Solution Steps

Multiply 22 and 22 to get 484.

$$2\left(484\times 1-1\times \frac{1}{3}\left(22^{2}+\sqrt{22^{2}\times \left(0\times 75\right)^{2}}+\left(0\times 75\right)^{2}\right)\right)$$

Multiply 484 and 1 to get 484.

$$2\left(484-1\times \frac{1}{3}\left(22^{2}+\sqrt{22^{2}\times \left(0\times 75\right)^{2}}+\left(0\times 75\right)^{2}\right)\right)$$

Multiply 1 and \frac{1}{3} to get \frac{1}{3}.

$$2\left(484-\frac{1}{3}\left(22^{2}+\sqrt{22^{2}\times \left(0\times 75\right)^{2}}+\left(0\times 75\right)^{2}\right)\right)$$

Calculate 22 to the power of 2 and get 484.

$$2\left(484-\frac{1}{3}\left(484+\sqrt{22^{2}\times \left(0\times 75\right)^{2}}+\left(0\times 75\right)^{2}\right)\right)$$

Calculate 22 to the power of 2 and get 484.

$$2\left(484-\frac{1}{3}\left(484+\sqrt{484\times \left(0\times 75\right)^{2}}+\left(0\times 75\right)^{2}\right)\right)$$

Multiply 0 and 75 to get 0.

$$2\left(484-\frac{1}{3}\left(484+\sqrt{484\times 0^{2}}+\left(0\times 75\right)^{2}\right)\right)$$

Calculate 0 to the power of 2 and get 0.

$$2\left(484-\frac{1}{3}\left(484+\sqrt{484\times 0}+\left(0\times 75\right)^{2}\right)\right)$$

Multiply 484 and 0 to get 0.

$$2\left(484-\frac{1}{3}\left(484+\sqrt{0}+\left(0\times 75\right)^{2}\right)\right)$$

Calculate the square root of 0 and get 0.

$$2\left(484-\frac{1}{3}\left(484+0+\left(0\times 75\right)^{2}\right)\right)$$

Add 484 and 0 to get 484.

$$2\left(484-\frac{1}{3}\left(484+\left(0\times 75\right)^{2}\right)\right)$$

Multiply 0 and 75 to get 0.

$$2\left(484-\frac{1}{3}\left(484+0^{2}\right)\right)$$

Calculate 0 to the power of 2 and get 0.

$$2\left(484-\frac{1}{3}\left(484+0\right)\right)$$

Add 484 and 0 to get 484.

$$2\left(484-\frac{1}{3}\times 484\right)$$

Multiply \frac{1}{3} and 484 to get \frac{484}{3}.

$$2\left(484-\frac{484}{3}\right)$$

Subtract \frac{484}{3} from 484 to get \frac{968}{3}.

$$2\times \frac{968}{3}$$

Multiply 2 and \frac{968}{3} to get \frac{1936}{3}.

$$\frac{1936}{3}$$

Factor

$$\frac{2 ^ {4} \cdot 11 ^ {2}}{3} = 645\frac{1}{3} = 645.3333333333334$$