Solve (frac{sqrt{5}}{2})(frac{sqrt{5}}{2})

$$( \frac { \sqrt { 5 } } { 2 } ) ( \frac { \sqrt { 5 } } { 2 } )$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Multiply \frac{\sqrt{5}}{2} and \frac{\sqrt{5}}{2} to get \left(\frac{\sqrt{5}}{2}\right)^{2}.

$$\left(\frac{\sqrt{5}}{2}\right)^{2}$$

To raise \frac{\sqrt{5}}{2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(\sqrt{5}\right)^{2}}{2^{2}}$$

The square of \sqrt{5} is 5.

$$\frac{5}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$