Solve sqrt{-2(-31)-13}-(-2)2^3

$$\sqrt { - 2 ( - 31 ) - 13 } - ( - 2 ) 2 ^ { 3 }$$

Evaluate

$$23$$

Solution Steps

Multiply -2 and -31 to get 62.

$$\sqrt{62-13}-\left(-2\times 2^{3}\right)$$

Subtract 13 from 62 to get 49.

$$\sqrt{49}-\left(-2\times 2^{3}\right)$$

Calculate the square root of 49 and get 7.

$$7-\left(-2\times 2^{3}\right)$$

Calculate 2 to the power of 3 and get 8.

$$7-\left(-2\times 8\right)$$

Multiply -2 and 8 to get -16.

$$7-\left(-16\right)$$

The opposite of -16 is 16.

$$7+16$$

Add 7 and 16 to get 23.

$$23$$

Factor

$$23$$