Solve 2/sqrt{2}-sqrt{2}

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

Evaluate

$$0$$

Solution Steps

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

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

The square of \sqrt{2} is 2.

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

Cancel out 2 and 2.

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

Combine \sqrt{2} and -\sqrt{2} to get 0.

$$0$$

Factor

$$0$$