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

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

Evaluate

$$4$$

Solution Steps

Extract the negative sign in \sqrt{2}.

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

Cancel out -\sqrt{2} in both numerator and denominator.

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

Multiply -2 and -1 to get 2.

$$\frac{2}{\frac{1}{2}}$$

Divide 2 by \frac{1}{2} by multiplying 2 by the reciprocal of \frac{1}{2}.

$$2\times 2$$

Multiply 2 and 2 to get 4.

$$4$$

Factor

$$2^{2}$$