Solve -1/-frac{1{2}sqrt{2}}

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

Evaluate

$$\sqrt{2}\approx 1.414213562$$

Solution Steps

Rationalize the denominator of \frac{-1}{-\frac{1}{2}\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

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

The square of \sqrt{2} is 2.

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

Cancel out 2 and 2.

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

Cancel out -1 and -1.

$$\sqrt{2}$$