Solve -sqrt[3]{4*2}1/2+-1/2{left(sqrt{2}right)}^2

$$- \sqrt[ 3 ]{ 4 \cdot 2 } \frac{ 1 }{ 2 } +- \frac{ 1 }{ 2 } { \left( \sqrt{ 2 } \right) }^{ 2 }$$

Evaluate

$$-2$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\left(-\sqrt[3]{8}\right)\times \frac{1}{2}-\frac{1}{2}\left(\sqrt{2}\right)^{2}$$

Calculate \sqrt[3]{8} and get 2.

$$-2\times \frac{1}{2}-\frac{1}{2}\left(\sqrt{2}\right)^{2}$$

Multiply -2 and \frac{1}{2} to get -1.

$$-1-\frac{1}{2}\left(\sqrt{2}\right)^{2}$$

The square of \sqrt{2} is 2.

$$-1-\frac{1}{2}\times 2$$

Multiply -\frac{1}{2} and 2 to get -1.

$$-1-1$$

Subtract 1 from -1 to get -2.

$$-2$$

Factor

$$-2$$