Solve -3[8-3(5+sqrt{9})-(7-9)]

$$- 3 [ 8 - 3 ( 5 + \sqrt { 9 } ) - ( 7 - 9 ) ]$$

Evaluate

$$42$$

Solution Steps

Calculate the square root of 9 and get 3.

$$-3\left(8-3\left(5+3\right)-\left(7-9\right)\right)$$

Add 5 and 3 to get 8.

$$-3\left(8-3\times 8-\left(7-9\right)\right)$$

Multiply 3 and 8 to get 24.

$$-3\left(8-24-\left(7-9\right)\right)$$

Subtract 24 from 8 to get -16.

$$-3\left(-16-\left(7-9\right)\right)$$

Subtract 9 from 7 to get -2.

$$-3\left(-16-\left(-2\right)\right)$$

The opposite of -2 is 2.

$$-3\left(-16+2\right)$$

Add -16 and 2 to get -14.

$$-3\left(-14\right)$$

Multiply -3 and -14 to get 42.

$$42$$

Factor

$$2\times 3\times 7$$