Solve {l}{2sqrt{9}+3sqrt{4}-sqrt{36}}{5sqrt{49}-3sqrt{9}-2sqrt{4}}

$$\left. \begin{array} { l } { 2 \sqrt { 9 } + 3 \sqrt { 4 } - \sqrt { 36 } } \\ { 5 \sqrt { 49 } - 3 \sqrt { 9 } - 2 \sqrt { 4 } } \end{array} \right.$$

Sort

$$6,\ 22$$

Solution Steps

Calculate the square root of 9 and get 3.

$$sort(2\times 3+3\sqrt{4}-\sqrt{36},5\sqrt{49}-3\sqrt{9}-2\sqrt{4})$$

Multiply 2 and 3 to get 6.

$$sort(6+3\sqrt{4}-\sqrt{36},5\sqrt{49}-3\sqrt{9}-2\sqrt{4})$$

Calculate the square root of 4 and get 2.

$$sort(6+3\times 2-\sqrt{36},5\sqrt{49}-3\sqrt{9}-2\sqrt{4})$$

Multiply 3 and 2 to get 6.

$$sort(6+6-\sqrt{36},5\sqrt{49}-3\sqrt{9}-2\sqrt{4})$$

Add 6 and 6 to get 12.

$$sort(12-\sqrt{36},5\sqrt{49}-3\sqrt{9}-2\sqrt{4})$$

Calculate the square root of 36 and get 6.

$$sort(12-6,5\sqrt{49}-3\sqrt{9}-2\sqrt{4})$$

Subtract 6 from 12 to get 6.

$$sort(6,5\sqrt{49}-3\sqrt{9}-2\sqrt{4})$$

Calculate the square root of 49 and get 7.

$$sort(6,5\times 7-3\sqrt{9}-2\sqrt{4})$$

Multiply 5 and 7 to get 35.

$$sort(6,35-3\sqrt{9}-2\sqrt{4})$$

Calculate the square root of 9 and get 3.

$$sort(6,35-3\times 3-2\sqrt{4})$$

Multiply -3 and 3 to get -9.

$$sort(6,35-9-2\sqrt{4})$$

Subtract 9 from 35 to get 26.

$$sort(6,26-2\sqrt{4})$$

Calculate the square root of 4 and get 2.

$$sort(6,26-2\times 2)$$

Multiply -2 and 2 to get -4.

$$sort(6,26-4)$$

Subtract 4 from 26 to get 22.

$$sort(6,22)$$

The list values are already in order.

$$6,22$$

Evaluate

$$6,\ 22$$