Solve frac{sqrt{323}}{2}frac{sqrt{323}}{2}

$$\frac{ \sqrt{ 323 } }{ 2 } \frac{ \sqrt{ 323 } }{ 2 }$$

Evaluate

$$\frac{323}{4}=80.75$$

Solution Steps

Multiply \frac{\sqrt{323}}{2} and \frac{\sqrt{323}}{2} to get \left(\frac{\sqrt{323}}{2}\right)^{2}.

$$\left(\frac{\sqrt{323}}{2}\right)^{2}$$

To raise \frac{\sqrt{323}}{2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(\sqrt{323}\right)^{2}}{2^{2}}$$

The square of \sqrt{323} is 323.

$$\frac{323}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{323}{4}$$

Factor

$$\frac{17 \cdot 19}{2 ^ {2}} = 80\frac{3}{4} = 80.75$$