Solve frac{frac{sqrt{2}}{2}*4}{1/2}=

$$\frac { \frac { \sqrt { 2 } } { 2 } \cdot 4 } { \frac { 1 } { 2 } } =$$

Evaluate

$$4\sqrt{2}\approx 5.656854249$$

Solution Steps

Cancel out 2, the greatest common factor in 4 and 2.

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

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

$$2\sqrt{2}\times 2$$

Multiply 2 and 2 to get 4.

$$4\sqrt{2}$$