Solve {l}{(0.45-42)^{2}+(0.37-0.42)^2+2}{+(0.34-0.42)^2+(0.38-0)}{(0.43-0.42)^2+10.47-1.4}{(0.40-0.42)^2}

$$\left. \begin{array} { l } { ( 0.45 - 42 ) ^ { 2 } + ( 0.37 - 0.42 ) ^ { 2 } + 2 } \\ { + ( 0.34 - 0.42 ) ^ { 2 } + ( 0.38 - 0 ) } \\ { ( 0.43 - 0.42 ) ^ { 2 } + 10.47 - 1.4 } \\ { ( 0.40 - 0.42 ) ^ { 2 } } \end{array} \right.$$

Sort

$$0.0004,0.3864,9.0701,1728.405$$

Solution Steps

Subtract 42 from 0.45 to get -41.55.

$$sort(\left(-41.55\right)^{2}+\left(0.37-0.42\right)^{2}+2,\left(0.34-0.42\right)^{2}+0.38-0,\left(0.43-0.42\right)^{2}+10.47-1.4,\left(0.4-0.42\right)^{2})$$

Calculate -41.55 to the power of 2 and get 1726.4025.

$$sort(1726.4025+\left(0.37-0.42\right)^{2}+2,\left(0.34-0.42\right)^{2}+0.38-0,\left(0.43-0.42\right)^{2}+10.47-1.4,\left(0.4-0.42\right)^{2})$$

Subtract 0.42 from 0.37 to get -0.05.

$$sort(1726.4025+\left(-0.05\right)^{2}+2,\left(0.34-0.42\right)^{2}+0.38-0,\left(0.43-0.42\right)^{2}+10.47-1.4,\left(0.4-0.42\right)^{2})$$

Calculate -0.05 to the power of 2 and get 0.0025.

$$sort(1726.4025+0.0025+2,\left(0.34-0.42\right)^{2}+0.38-0,\left(0.43-0.42\right)^{2}+10.47-1.4,\left(0.4-0.42\right)^{2})$$

Add 1726.4025 and 0.0025 to get 1726.405.

$$sort(1726.405+2,\left(0.34-0.42\right)^{2}+0.38-0,\left(0.43-0.42\right)^{2}+10.47-1.4,\left(0.4-0.42\right)^{2})$$

Add 1726.405 and 2 to get 1728.405.

$$sort(1728.405,\left(0.34-0.42\right)^{2}+0.38-0,\left(0.43-0.42\right)^{2}+10.47-1.4,\left(0.4-0.42\right)^{2})$$

Subtract 0.42 from 0.34 to get -0.08.

$$sort(1728.405,\left(-0.08\right)^{2}+0.38-0,\left(0.43-0.42\right)^{2}+10.47-1.4,\left(0.4-0.42\right)^{2})$$

Calculate -0.08 to the power of 2 and get 0.0064.

$$sort(1728.405,0.0064+0.38-0,\left(0.43-0.42\right)^{2}+10.47-1.4,\left(0.4-0.42\right)^{2})$$

Subtract 0 from 0.38 to get 0.38.

$$sort(1728.405,0.0064+0.38,\left(0.43-0.42\right)^{2}+10.47-1.4,\left(0.4-0.42\right)^{2})$$

Add 0.0064 and 0.38 to get 0.3864.

$$sort(1728.405,0.3864,\left(0.43-0.42\right)^{2}+10.47-1.4,\left(0.4-0.42\right)^{2})$$

Subtract 0.42 from 0.43 to get 0.01.

$$sort(1728.405,0.3864,0.01^{2}+10.47-1.4,\left(0.4-0.42\right)^{2})$$

Calculate 0.01 to the power of 2 and get 0.0001.

$$sort(1728.405,0.3864,0.0001+10.47-1.4,\left(0.4-0.42\right)^{2})$$

Add 0.0001 and 10.47 to get 10.4701.

$$sort(1728.405,0.3864,10.4701-1.4,\left(0.4-0.42\right)^{2})$$

Subtract 1.4 from 10.4701 to get 9.0701.

$$sort(1728.405,0.3864,9.0701,\left(0.4-0.42\right)^{2})$$

Subtract 0.42 from 0.4 to get -0.02.

$$sort(1728.405,0.3864,9.0701,\left(-0.02\right)^{2})$$

Calculate -0.02 to the power of 2 and get 0.0004.

$$sort(1728.405,0.3864,9.0701,0.0004)$$

To sort the list, start from a single element 1728.405.

$$1728.405$$

Insert 0.3864 to the appropriate location in the new list.

$$0.3864,1728.405$$

Insert 9.0701 to the appropriate location in the new list.

$$0.3864,9.0701,1728.405$$

Insert 0.0004 to the appropriate location in the new list.

$$0.0004,0.3864,9.0701,1728.405$$

Evaluate

$$1728.405,\ 0.3864,\ 9.0701,\ 0.0004$$