Solve {l}{1sqrt{169}+sqrt{121}}{sqrt[3]{125}+sqrt{144}}

$$\left. \begin{array} { l } { 1 \sqrt { 169 } + \sqrt { 121 } } \\ { \sqrt[ 3 ] { 125 } + \sqrt { 144 } } \end{array} \right.$$

Sort

$$17,24$$

Solution Steps

Calculate the square root of 169 and get 13.

$$sort(1\times 13+\sqrt{121},\sqrt[3]{125}+\sqrt{144})$$

Multiply 1 and 13 to get 13.

$$sort(13+\sqrt{121},\sqrt[3]{125}+\sqrt{144})$$

Calculate the square root of 121 and get 11.

$$sort(13+11,\sqrt[3]{125}+\sqrt{144})$$

Add 13 and 11 to get 24.

$$sort(24,\sqrt[3]{125}+\sqrt{144})$$

Calculate \sqrt[3]{125} and get 5.

$$sort(24,5+\sqrt{144})$$

Calculate the square root of 144 and get 12.

$$sort(24,5+12)$$

Add 5 and 12 to get 17.

$$sort(24,17)$$

To sort the list, start from a single element 24.

$$24$$

Insert 17 to the appropriate location in the new list.

$$17,24$$

Evaluate

$$24,\ 17$$