Solve =sqrt{072*(200-189)^2+008*(110-189)^2+018*(190-189)^2}+

$$= \sqrt { 072 \times ( 200 - 189 ) ^ { 2 } + 008 \times ( 110 - 189 ) ^ { 2 } + 018 \times ( 190 - 189 ) ^ { 2 } } +$$

Evaluate

$$0$$

Solution Steps

Do the multiplications.

$$\sqrt{0\left(200-189\right)^{2}+0\times 8\left(110-189\right)^{2}+0\left(190-189\right)^{2}}$$

Subtract 189 from 200 to get 11.

$$\sqrt{0\times 11^{2}+0\times 8\left(110-189\right)^{2}+0\left(190-189\right)^{2}}$$

Calculate 11 to the power of 2 and get 121.

$$\sqrt{0\times 121+0\times 8\left(110-189\right)^{2}+0\left(190-189\right)^{2}}$$

Multiply 0 and 121 to get 0.

$$\sqrt{0+0\times 8\left(110-189\right)^{2}+0\left(190-189\right)^{2}}$$

Multiply 0 and 8 to get 0.

$$\sqrt{0+0\left(110-189\right)^{2}+0\left(190-189\right)^{2}}$$

Subtract 189 from 110 to get -79.

$$\sqrt{0+0\left(-79\right)^{2}+0\left(190-189\right)^{2}}$$

Calculate -79 to the power of 2 and get 6241.

$$\sqrt{0+0\times 6241+0\left(190-189\right)^{2}}$$

Multiply 0 and 6241 to get 0.

$$\sqrt{0+0+0\left(190-189\right)^{2}}$$

Add 0 and 0 to get 0.

$$\sqrt{0\left(190-189\right)^{2}}$$

Subtract 189 from 190 to get 1.

$$\sqrt{0\times 1^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\sqrt{0\times 1}$$

Multiply 0 and 1 to get 0.

$$\sqrt{0}$$

Calculate the square root of 0 and get 0.

$$0$$

Factor

$$0$$