Solve {l}{sqrt{4*(-5)^2-(-3)^2-(-2)*(-5)}-(-2)^3}{(-1)-sqrt{(-2)*(-6)+4}-[2*(-4)-3]}

$$\left. \begin{array} { l } { \sqrt { 4 \cdot ( - 5 ) ^ { 2 } - ( - 3 ) ^ { 2 } - ( - 2 ) \cdot ( - 5 ) } - ( - 2 ) ^ { 3 } } \\ { ( - 1 ) - \sqrt { ( - 2 ) \cdot ( - 6 ) + 4 } - [ 2 \cdot ( - 4 ) - 3 ] } \end{array} \right.$$

Sort

$$6,17$$

Solution Steps

Calculate -5 to the power of 2 and get 25.

$$sort(\sqrt{4\times 25-\left(-3\right)^{2}-\left(-2\left(-5\right)\right)}-\left(-2\right)^{3},-1-\sqrt{-2\left(-6\right)+4}-\left(2\left(-4\right)-3\right))$$

Multiply 4 and 25 to get 100.

$$sort(\sqrt{100-\left(-3\right)^{2}-\left(-2\left(-5\right)\right)}-\left(-2\right)^{3},-1-\sqrt{-2\left(-6\right)+4}-\left(2\left(-4\right)-3\right))$$

Calculate -3 to the power of 2 and get 9.

$$sort(\sqrt{100-9-\left(-2\left(-5\right)\right)}-\left(-2\right)^{3},-1-\sqrt{-2\left(-6\right)+4}-\left(2\left(-4\right)-3\right))$$

Subtract 9 from 100 to get 91.

$$sort(\sqrt{91-\left(-2\left(-5\right)\right)}-\left(-2\right)^{3},-1-\sqrt{-2\left(-6\right)+4}-\left(2\left(-4\right)-3\right))$$

Multiply -2 and -5 to get 10.

$$sort(\sqrt{91-10}-\left(-2\right)^{3},-1-\sqrt{-2\left(-6\right)+4}-\left(2\left(-4\right)-3\right))$$

Subtract 10 from 91 to get 81.

$$sort(\sqrt{81}-\left(-2\right)^{3},-1-\sqrt{-2\left(-6\right)+4}-\left(2\left(-4\right)-3\right))$$

Calculate the square root of 81 and get 9.

$$sort(9-\left(-2\right)^{3},-1-\sqrt{-2\left(-6\right)+4}-\left(2\left(-4\right)-3\right))$$

Calculate -2 to the power of 3 and get -8.

$$sort(9-\left(-8\right),-1-\sqrt{-2\left(-6\right)+4}-\left(2\left(-4\right)-3\right))$$

The opposite of -8 is 8.

$$sort(9+8,-1-\sqrt{-2\left(-6\right)+4}-\left(2\left(-4\right)-3\right))$$

Add 9 and 8 to get 17.

$$sort(17,-1-\sqrt{-2\left(-6\right)+4}-\left(2\left(-4\right)-3\right))$$

Multiply -2 and -6 to get 12.

$$sort(17,-1-\sqrt{12+4}-\left(2\left(-4\right)-3\right))$$

Add 12 and 4 to get 16.

$$sort(17,-1-\sqrt{16}-\left(2\left(-4\right)-3\right))$$

Calculate the square root of 16 and get 4.

$$sort(17,-1-4-\left(2\left(-4\right)-3\right))$$

Subtract 4 from -1 to get -5.

$$sort(17,-5-\left(2\left(-4\right)-3\right))$$

Multiply 2 and -4 to get -8.

$$sort(17,-5-\left(-8-3\right))$$

Subtract 3 from -8 to get -11.

$$sort(17,-5-\left(-11\right))$$

The opposite of -11 is 11.

$$sort(17,-5+11)$$

Add -5 and 11 to get 6.

$$sort(17,6)$$

To sort the list, start from a single element 17.

$$17$$

Insert 6 to the appropriate location in the new list.

$$6,17$$

Evaluate

$$17,\ 6$$