Solve 8+(-1)^3-2*2/sqrt{2}

$$8 + ( - 1 ) ^ { 3 } - 2 \times \frac { 2 } { \sqrt { 2 } }$$

Evaluate

$$7-2\sqrt{2}\approx 4.171572875$$

Solution Steps

Calculate -1 to the power of 3 and get -1.

$$8-1-2\times \frac{2}{\sqrt{2}}$$

Subtract 1 from 8 to get 7.

$$7-2\times \frac{2}{\sqrt{2}}$$

Rationalize the denominator of \frac{2}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$7-2\times \frac{2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$7-2\times \frac{2\sqrt{2}}{2}$$

Cancel out 2 and 2.

$$7-2\sqrt{2}$$