Solve frac{sqrt{2}+sqrt{2}}{sqrt{2}}

$$\frac { \sqrt { 2 } + \sqrt { 2 } } { \sqrt { 2 } }$$

Evaluate

$$2$$

Solution Steps

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

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

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

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

The square of \sqrt{2} is 2.

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

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$\frac{2\times 2}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$2$$

Factor

$$2$$