Solve (sqrt{25}-sqrt{9})*(-4^2)+-2^3)

$$( \sqrt{ 25 } - \sqrt{ 9 } ) \times ( { -4 }^{ 2 } )+ { -2 }^{ 3 } )$$

Evaluate

$$24$$

Solution Steps

Calculate the square root of 25 and get 5.

$$\left(5-\sqrt{9}\right)\left(-4\right)^{2}+\left(-2\right)^{3}$$

Calculate the square root of 9 and get 3.

$$\left(5-3\right)\left(-4\right)^{2}+\left(-2\right)^{3}$$

Subtract 3 from 5 to get 2.

$$2\left(-4\right)^{2}+\left(-2\right)^{3}$$

Calculate -4 to the power of 2 and get 16.

$$2\times 16+\left(-2\right)^{3}$$

Multiply 2 and 16 to get 32.

$$32+\left(-2\right)^{3}$$

Calculate -2 to the power of 3 and get -8.

$$32-8$$

Subtract 8 from 32 to get 24.

$$24$$

Factor

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