Solve (0.8^2+0.8^2+0.2^2+2.2^2+{3.2}^{2}+{0.2}^{2}+{2.8}^2+{0.2}^2+{1.2}^2+{2.8}^2

$$( { 0.8 }^{ 2 } + { 0.8 }^{ 2 } + { 0.2 }^{ 2 } + { 2.2 }^{ 2 } + { 3.2 }^{ 2 } + { 0.2 }^{ 2 } + { 2.8 }^{ 2 } + { 0.2 }^{ 2 } + { 1.2 }^{ 2 } + { 2.8 }^{ 2 }$$

Evaluate

$$33.6$$

Solution Steps

Calculate 0.8 to the power of 2 and get 0.64.

$$0.64+0.8^{2}+0.2^{2}+2.2^{2}+3.2^{2}+0.2^{2}+2.8^{2}+0.2^{2}+1.2^{2}+2.8^{2}$$

Calculate 0.8 to the power of 2 and get 0.64.

$$0.64+0.64+0.2^{2}+2.2^{2}+3.2^{2}+0.2^{2}+2.8^{2}+0.2^{2}+1.2^{2}+2.8^{2}$$

Add 0.64 and 0.64 to get 1.28.

$$1.28+0.2^{2}+2.2^{2}+3.2^{2}+0.2^{2}+2.8^{2}+0.2^{2}+1.2^{2}+2.8^{2}$$

Calculate 0.2 to the power of 2 and get 0.04.

$$1.28+0.04+2.2^{2}+3.2^{2}+0.2^{2}+2.8^{2}+0.2^{2}+1.2^{2}+2.8^{2}$$

Add 1.28 and 0.04 to get 1.32.

$$1.32+2.2^{2}+3.2^{2}+0.2^{2}+2.8^{2}+0.2^{2}+1.2^{2}+2.8^{2}$$

Calculate 2.2 to the power of 2 and get 4.84.

$$1.32+4.84+3.2^{2}+0.2^{2}+2.8^{2}+0.2^{2}+1.2^{2}+2.8^{2}$$

Add 1.32 and 4.84 to get 6.16.

$$6.16+3.2^{2}+0.2^{2}+2.8^{2}+0.2^{2}+1.2^{2}+2.8^{2}$$

Calculate 3.2 to the power of 2 and get 10.24.

$$6.16+10.24+0.2^{2}+2.8^{2}+0.2^{2}+1.2^{2}+2.8^{2}$$

Add 6.16 and 10.24 to get 16.4.

$$16.4+0.2^{2}+2.8^{2}+0.2^{2}+1.2^{2}+2.8^{2}$$

Calculate 0.2 to the power of 2 and get 0.04.

$$16.4+0.04+2.8^{2}+0.2^{2}+1.2^{2}+2.8^{2}$$

Add 16.4 and 0.04 to get 16.44.

$$16.44+2.8^{2}+0.2^{2}+1.2^{2}+2.8^{2}$$

Calculate 2.8 to the power of 2 and get 7.84.

$$16.44+7.84+0.2^{2}+1.2^{2}+2.8^{2}$$

Add 16.44 and 7.84 to get 24.28.

$$24.28+0.2^{2}+1.2^{2}+2.8^{2}$$

Calculate 0.2 to the power of 2 and get 0.04.

$$24.28+0.04+1.2^{2}+2.8^{2}$$

Add 24.28 and 0.04 to get 24.32.

$$24.32+1.2^{2}+2.8^{2}$$

Calculate 1.2 to the power of 2 and get 1.44.

$$24.32+1.44+2.8^{2}$$

Add 24.32 and 1.44 to get 25.76.

$$25.76+2.8^{2}$$

Calculate 2.8 to the power of 2 and get 7.84.

$$25.76+7.84$$

Add 25.76 and 7.84 to get 33.6.

$$33.6$$

Factor

$$\frac{3 \cdot 7 \cdot 2 ^ {3}}{5} = 33\frac{3}{5} = 33.6$$