Solve frac{-2sqrt{2}}{sqrt{2}}

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

Evaluate

$$-2$$

Solution Steps

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

$$-2$$