Solve 2.7^2+2.2^2+4.1^2+4.3^2+{2.6}^{2}+{1.9}^{2}+{1.7}^{2}+{0.6}^{2}+{1.9}^{2}+{1.3}^{2}+{1.5}^2+{1.7}^2+{1.3}^2+{1.9}^2

$${ 2.7 }^{ 2 } + { 2.2 }^{ 2 } + { 4.1 }^{ 2 } + { 4.3 }^{ 2 } + { 2.6 }^{ 2 } + { 1.9 }^{ 2 } + { 1.7 }^{ 2 } + { 0.6 }^{ 2 } + { 1.9 }^{ 2 } + { 1.3 }^{ 2 } + { 1.5 }^{ 2 } + { 1.7 }^{ 2 } + { 1.3 }^{ 2 } + { 1.9 }^{ 2 }$$

Evaluate

$$76.79$$

Solution Steps

Calculate 2.7 to the power of 2 and get 7.29.

$$7.29+2.2^{2}+4.1^{2}+4.3^{2}+2.6^{2}+1.9^{2}+1.7^{2}+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Calculate 2.2 to the power of 2 and get 4.84.

$$7.29+4.84+4.1^{2}+4.3^{2}+2.6^{2}+1.9^{2}+1.7^{2}+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Add 7.29 and 4.84 to get 12.13.

$$12.13+4.1^{2}+4.3^{2}+2.6^{2}+1.9^{2}+1.7^{2}+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Calculate 4.1 to the power of 2 and get 16.81.

$$12.13+16.81+4.3^{2}+2.6^{2}+1.9^{2}+1.7^{2}+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Add 12.13 and 16.81 to get 28.94.

$$28.94+4.3^{2}+2.6^{2}+1.9^{2}+1.7^{2}+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Calculate 4.3 to the power of 2 and get 18.49.

$$28.94+18.49+2.6^{2}+1.9^{2}+1.7^{2}+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Add 28.94 and 18.49 to get 47.43.

$$47.43+2.6^{2}+1.9^{2}+1.7^{2}+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Calculate 2.6 to the power of 2 and get 6.76.

$$47.43+6.76+1.9^{2}+1.7^{2}+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Add 47.43 and 6.76 to get 54.19.

$$54.19+1.9^{2}+1.7^{2}+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Calculate 1.9 to the power of 2 and get 3.61.

$$54.19+3.61+1.7^{2}+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Add 54.19 and 3.61 to get 57.8.

$$57.8+1.7^{2}+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Calculate 1.7 to the power of 2 and get 2.89.

$$57.8+2.89+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Add 57.8 and 2.89 to get 60.69.

$$60.69+0.6^{2}+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Calculate 0.6 to the power of 2 and get 0.36.

$$60.69+0.36+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Add 60.69 and 0.36 to get 61.05.

$$61.05+1.9^{2}+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Calculate 1.9 to the power of 2 and get 3.61.

$$61.05+3.61+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Add 61.05 and 3.61 to get 64.66.

$$64.66+1.3^{2}+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Calculate 1.3 to the power of 2 and get 1.69.

$$64.66+1.69+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Add 64.66 and 1.69 to get 66.35.

$$66.35+1.5^{2}+1.7^{2}+1.3^{2}+1.9^{2}$$

Calculate 1.5 to the power of 2 and get 2.25.

$$66.35+2.25+1.7^{2}+1.3^{2}+1.9^{2}$$

Add 66.35 and 2.25 to get 68.6.

$$68.6+1.7^{2}+1.3^{2}+1.9^{2}$$

Calculate 1.7 to the power of 2 and get 2.89.

$$68.6+2.89+1.3^{2}+1.9^{2}$$

Add 68.6 and 2.89 to get 71.49.

$$71.49+1.3^{2}+1.9^{2}$$

Calculate 1.3 to the power of 2 and get 1.69.

$$71.49+1.69+1.9^{2}$$

Add 71.49 and 1.69 to get 73.18.

$$73.18+1.9^{2}$$

Calculate 1.9 to the power of 2 and get 3.61.

$$73.18+3.61$$

Add 73.18 and 3.61 to get 76.79.

$$76.79$$

Factor

$$\frac{7 \cdot 1097}{2 ^ {2} \cdot 5 ^ {2}} = 76\frac{79}{100} = 76.79$$