Solve 2.3^2+3.3^2+1.3^2+3.3^2+{0.3}^{2}+{1.7}^{2}+{0.7}^2+{1.7}^2+{2.7}^2+{3.7}^2

$${ 2.3 }^{ 2 } + { 3.3 }^{ 2 } + { 1.3 }^{ 2 } + { 3.3 }^{ 2 } + { 0.3 }^{ 2 } + { 1.7 }^{ 2 } + { 0.7 }^{ 2 } + { 1.7 }^{ 2 } + { 2.7 }^{ 2 } + { 3.7 }^{ 2 }$$

Evaluate

$$56.1$$

Solution Steps

Calculate 2.3 to the power of 2 and get 5.29.

$$5.29+3.3^{2}+1.3^{2}+3.3^{2}+0.3^{2}+1.7^{2}+0.7^{2}+1.7^{2}+2.7^{2}+3.7^{2}$$

Calculate 3.3 to the power of 2 and get 10.89.

$$5.29+10.89+1.3^{2}+3.3^{2}+0.3^{2}+1.7^{2}+0.7^{2}+1.7^{2}+2.7^{2}+3.7^{2}$$

Add 5.29 and 10.89 to get 16.18.

$$16.18+1.3^{2}+3.3^{2}+0.3^{2}+1.7^{2}+0.7^{2}+1.7^{2}+2.7^{2}+3.7^{2}$$

Calculate 1.3 to the power of 2 and get 1.69.

$$16.18+1.69+3.3^{2}+0.3^{2}+1.7^{2}+0.7^{2}+1.7^{2}+2.7^{2}+3.7^{2}$$

Add 16.18 and 1.69 to get 17.87.

$$17.87+3.3^{2}+0.3^{2}+1.7^{2}+0.7^{2}+1.7^{2}+2.7^{2}+3.7^{2}$$

Calculate 3.3 to the power of 2 and get 10.89.

$$17.87+10.89+0.3^{2}+1.7^{2}+0.7^{2}+1.7^{2}+2.7^{2}+3.7^{2}$$

Add 17.87 and 10.89 to get 28.76.

$$28.76+0.3^{2}+1.7^{2}+0.7^{2}+1.7^{2}+2.7^{2}+3.7^{2}$$

Calculate 0.3 to the power of 2 and get 0.09.

$$28.76+0.09+1.7^{2}+0.7^{2}+1.7^{2}+2.7^{2}+3.7^{2}$$

Add 28.76 and 0.09 to get 28.85.

$$28.85+1.7^{2}+0.7^{2}+1.7^{2}+2.7^{2}+3.7^{2}$$

Calculate 1.7 to the power of 2 and get 2.89.

$$28.85+2.89+0.7^{2}+1.7^{2}+2.7^{2}+3.7^{2}$$

Add 28.85 and 2.89 to get 31.74.

$$31.74+0.7^{2}+1.7^{2}+2.7^{2}+3.7^{2}$$

Calculate 0.7 to the power of 2 and get 0.49.

$$31.74+0.49+1.7^{2}+2.7^{2}+3.7^{2}$$

Add 31.74 and 0.49 to get 32.23.

$$32.23+1.7^{2}+2.7^{2}+3.7^{2}$$

Calculate 1.7 to the power of 2 and get 2.89.

$$32.23+2.89+2.7^{2}+3.7^{2}$$

Add 32.23 and 2.89 to get 35.12.

$$35.12+2.7^{2}+3.7^{2}$$

Calculate 2.7 to the power of 2 and get 7.29.

$$35.12+7.29+3.7^{2}$$

Add 35.12 and 7.29 to get 42.41.

$$42.41+3.7^{2}$$

Calculate 3.7 to the power of 2 and get 13.69.

$$42.41+13.69$$

Add 42.41 and 13.69 to get 56.1.

$$56.1$$

Factor

$$\frac{3 \cdot 11 \cdot 17}{2 \cdot 5} = 56\frac{1}{10} = 56.1$$