Solve sqrt{100}+5[3^3-2(3^2+3)]

$$\sqrt { 100 } + 5 [ 3 ^ { 3 } - 2 ( 3 ^ { 2 } + 3 ) ]$$

Evaluate

$$25$$

Solution Steps

Calculate the square root of 100 and get 10.

$$10+5\left(3^{3}-2\left(3^{2}+3\right)\right)$$

Calculate 3 to the power of 3 and get 27.

$$10+5\left(27-2\left(3^{2}+3\right)\right)$$

Calculate 3 to the power of 2 and get 9.

$$10+5\left(27-2\left(9+3\right)\right)$$

Add 9 and 3 to get 12.

$$10+5\left(27-2\times 12\right)$$

Multiply 2 and 12 to get 24.

$$10+5\left(27-24\right)$$

Subtract 24 from 27 to get 3.

$$10+5\times 3$$

Multiply 5 and 3 to get 15.

$$10+15$$

Add 10 and 15 to get 25.

$$25$$

Factor

$$5^{2}$$