Solve {l}{sqrt{169}+sqrt{256}}{sqrt[3]{8}+sqrt[3]{27}}

$$\left. \begin{array} { l } { \sqrt { 169 } + \sqrt { 256 } } \\ { \sqrt[ 3 ] { 8 } + \sqrt[ 3 ] { 27 } } \end{array} \right.$$

Sort

$$5,29$$

Solution Steps

Calculate the square root of 169 and get 13.

$$sort(13+\sqrt{256},\sqrt[3]{8}+\sqrt[3]{27})$$

Calculate the square root of 256 and get 16.

$$sort(13+16,\sqrt[3]{8}+\sqrt[3]{27})$$

Add 13 and 16 to get 29.

$$sort(29,\sqrt[3]{8}+\sqrt[3]{27})$$

Calculate \sqrt[3]{8} and get 2.

$$sort(29,2+\sqrt[3]{27})$$

Calculate \sqrt[3]{27} and get 3.

$$sort(29,2+3)$$

Add 2 and 3 to get 5.

$$sort(29,5)$$

To sort the list, start from a single element 29.

$$29$$

Insert 5 to the appropriate location in the new list.

$$5,29$$

Evaluate

$$29,\ 5$$