Solve {l}{(9)^{2}+(5-7)^{2}+(7-7)^{2}+(8-7)^{2}+(7-7)^{2}}{(6-7)^2+(8-7)^2+(6-7)^2+(1-7)^2+6}

$$\left. \begin{array} { l } { ( 9 ) ^ { 2 } + ( 5 - 7 ) ^ { 2 } + ( 7 - 7 ) ^ { 2 } + ( 8 - 7 ) ^ { 2 } + ( 7 - 7 ) ^ { 2 } } \\ { ( 6 - 7 ) ^ { 2 } + ( 8 - 7 ) ^ { 2 } + ( 6 - 7 ) ^ { 2 } + ( 1 - 7 ) ^ { 2 } + 6 } \end{array} \right.$$

Sort

$$45,86$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$sort(81+\left(5-7\right)^{2}+\left(7-7\right)^{2}+\left(8-7\right)^{2}+\left(7-7\right)^{2},\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Subtract 7 from 5 to get -2.

$$sort(81+\left(-2\right)^{2}+\left(7-7\right)^{2}+\left(8-7\right)^{2}+\left(7-7\right)^{2},\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Calculate -2 to the power of 2 and get 4.

$$sort(81+4+\left(7-7\right)^{2}+\left(8-7\right)^{2}+\left(7-7\right)^{2},\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Add 81 and 4 to get 85.

$$sort(85+\left(7-7\right)^{2}+\left(8-7\right)^{2}+\left(7-7\right)^{2},\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Subtract 7 from 7 to get 0.

$$sort(85+0^{2}+\left(8-7\right)^{2}+\left(7-7\right)^{2},\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Calculate 0 to the power of 2 and get 0.

$$sort(85+0+\left(8-7\right)^{2}+\left(7-7\right)^{2},\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Add 85 and 0 to get 85.

$$sort(85+\left(8-7\right)^{2}+\left(7-7\right)^{2},\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Subtract 7 from 8 to get 1.

$$sort(85+1^{2}+\left(7-7\right)^{2},\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Calculate 1 to the power of 2 and get 1.

$$sort(85+1+\left(7-7\right)^{2},\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Add 85 and 1 to get 86.

$$sort(86+\left(7-7\right)^{2},\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Subtract 7 from 7 to get 0.

$$sort(86+0^{2},\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Calculate 0 to the power of 2 and get 0.

$$sort(86+0,\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Add 86 and 0 to get 86.

$$sort(86,\left(6-7\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Subtract 7 from 6 to get -1.

$$sort(86,\left(-1\right)^{2}+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Calculate -1 to the power of 2 and get 1.

$$sort(86,1+\left(8-7\right)^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Subtract 7 from 8 to get 1.

$$sort(86,1+1^{2}+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Calculate 1 to the power of 2 and get 1.

$$sort(86,1+1+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Add 1 and 1 to get 2.

$$sort(86,2+\left(6-7\right)^{2}+\left(1-7\right)^{2}+6)$$

Subtract 7 from 6 to get -1.

$$sort(86,2+\left(-1\right)^{2}+\left(1-7\right)^{2}+6)$$

Calculate -1 to the power of 2 and get 1.

$$sort(86,2+1+\left(1-7\right)^{2}+6)$$

Add 2 and 1 to get 3.

$$sort(86,3+\left(1-7\right)^{2}+6)$$

Subtract 7 from 1 to get -6.

$$sort(86,3+\left(-6\right)^{2}+6)$$

Calculate -6 to the power of 2 and get 36.

$$sort(86,3+36+6)$$

Add 3 and 36 to get 39.

$$sort(86,39+6)$$

Add 39 and 6 to get 45.

$$sort(86,45)$$

To sort the list, start from a single element 86.

$$86$$

Insert 45 to the appropriate location in the new list.

$$45,86$$

Evaluate

$$86,\ 45$$