Solve {l}{sqrt{100}}{2(2/2)100/50}{5(5/5)25/5}{1}

$$\left. \begin{array} { l } { \sqrt { 100 } } \\ { 2 ( \frac { 2 } { 2 } ) \frac { 100 } { 50 } } \\ { 5 ( \frac { 5 } { 5 } ) \frac { 25 } { 5 } } \\ { 1 } \end{array} \right.$$

Sort

$$1,4,10,25$$

Solution Steps

Divide 2 by 2 to get 1.

$$sort(\sqrt{100},2\times 1\times \frac{100}{50},5\times \frac{5}{5}\times \frac{25}{5},1)$$

Divide 5 by 5 to get 1.

$$sort(\sqrt{100},2\times 1\times \frac{100}{50},5\times 1\times \frac{25}{5},1)$$

Calculate the square root of 100 and get 10.

$$sort(10,2\times 1\times \frac{100}{50},5\times 1\times \frac{25}{5},1)$$

Multiply 2 and 1 to get 2.

$$sort(10,2\times \frac{100}{50},5\times 1\times \frac{25}{5},1)$$

Divide 100 by 50 to get 2.

$$sort(10,2\times 2,5\times 1\times \frac{25}{5},1)$$

Multiply 2 and 2 to get 4.

$$sort(10,4,5\times 1\times \frac{25}{5},1)$$

Multiply 5 and 1 to get 5.

$$sort(10,4,5\times \frac{25}{5},1)$$

Divide 25 by 5 to get 5.

$$sort(10,4,5\times 5,1)$$

Multiply 5 and 5 to get 25.

$$sort(10,4,25,1)$$

To sort the list, start from a single element 10.

$$10$$

Insert 4 to the appropriate location in the new list.

$$4,10$$

Insert 25 to the appropriate location in the new list.

$$4,10,25$$

Insert 1 to the appropriate location in the new list.

$$1,4,10,25$$

Evaluate

$$10,\ 4,\ 25,\ 1$$