Solve frac{sqrt{2}}{2}*frac{sqrt{2}}{4}

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

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Multiply \frac{\sqrt{2}}{2} times \frac{\sqrt{2}}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\sqrt{2}\sqrt{2}}{2\times 4}$$

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

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

Multiply 2 and 4 to get 8.

$$\frac{2}{8}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$