Solve {l}{0,4sqrt{2500}-1/3sqrt{81}}{sqrt{0,16*36}}

$$\left. \begin{array} { l } { 0,4 \sqrt { 2500 } - \frac { 1 } { 3 } \sqrt { 81 } } \\ { \sqrt { 0,16 \cdot 36 } } \end{array} \right.$$

Sort

$$2,4;17$$

Solution Steps

Calculate the square root of 2500 and get 50.

$$sort(0,4\times 50-\frac{1}{3}\sqrt{81};\sqrt{0,16\times 36})$$

Multiply 0,4 and 50 to get 20.

$$sort(20-\frac{1}{3}\sqrt{81};\sqrt{0,16\times 36})$$

Calculate the square root of 81 and get 9.

$$sort(20-\frac{1}{3}\times 9;\sqrt{0,16\times 36})$$

Express -\frac{1}{3}\times 9 as a single fraction.

$$sort(20+\frac{-9}{3};\sqrt{0,16\times 36})$$

Divide -9 by 3 to get -3.

$$sort(20-3;\sqrt{0,16\times 36})$$

Subtract 3 from 20 to get 17.

$$sort(17;\sqrt{0,16\times 36})$$

Multiply 0,16 and 36 to get 5,76.

$$sort(17;\sqrt{5,76})$$

Calculate the square root of 5,76 and get 2,4.

$$sort(17;2,4)$$

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

$$17$$

Insert 2,4 to the appropriate location in the new list.

$$2,4;17$$

Evaluate

$$17,\ 2,4$$