Solve {-3-[(-5)^2-(-2^3+30)]}-sqrt{36}

$$\{ - 3 - [ ( - 5 ) ^ { 2 } - ( - 2 ^ { 3 } + 30 ) ] \} - \sqrt { 36 }$$

Evaluate

$$-12$$

Solution Steps

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

$$-3-\left(25-\left(-2^{3}+30\right)\right)-\sqrt{36}$$

Calculate 2 to the power of 3 and get 8.

$$-3-\left(25-\left(-8+30\right)\right)-\sqrt{36}$$

Add -8 and 30 to get 22.

$$-3-\left(25-22\right)-\sqrt{36}$$

Subtract 22 from 25 to get 3.

$$-3-3-\sqrt{36}$$

Subtract 3 from -3 to get -6.

$$-6-\sqrt{36}$$

Calculate the square root of 36 and get 6.

$$-6-6$$

Subtract 6 from -6 to get -12.

$$-12$$

Factor

$$-12$$