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

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

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply \frac{\sqrt{2}}{2} and \frac{\sqrt{2}}{2} to get \left(\frac{\sqrt{2}}{2}\right)^{2}.

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

To raise \frac{\sqrt{2}}{2} to a power, raise both numerator and denominator to the power and then divide.

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

The square of \sqrt{2} is 2.

$$\frac{2}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

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

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Factor

$$\frac{1}{2} = 0.5$$