Solve 3sqrt{82-57}+left|2-7right|+2*(-4)

$$3 \sqrt{ 82-57 } + \left| 2-7 \right| +2 \times (-4)$$

Evaluate

$$12$$

Solution Steps

Subtract 57 from 82 to get 25.

$$3\sqrt{25}+|2-7|+2\left(-4\right)$$

Calculate the square root of 25 and get 5.

$$3\times 5+|2-7|+2\left(-4\right)$$

Multiply 3 and 5 to get 15.

$$15+|2-7|+2\left(-4\right)$$

Subtract 7 from 2 to get -5.

$$15+|-5|+2\left(-4\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -5 is 5.

$$15+5+2\left(-4\right)$$

Add 15 and 5 to get 20.

$$20+2\left(-4\right)$$

Multiply 2 and -4 to get -8.

$$20-8$$

Subtract 8 from 20 to get 12.

$$12$$

Factor

$$2^{2}\times 3$$