Solve frac{sqrt{7}}{2}*frac{sqrt{7}}{2}*pi

$$\frac{ \sqrt{ 7 } }{ 2 } \times \frac{ \sqrt{ 7 } }{ 2 } \times \pi$$

Evaluate

$$\frac{7\pi }{4}\approx 5.497787144$$

Solution Steps

Multiply \frac{\sqrt{7}}{2} and \frac{\sqrt{7}}{2} to get \left(\frac{\sqrt{7}}{2}\right)^{2}.

$$\left(\frac{\sqrt{7}}{2}\right)^{2}\pi$$

To raise \frac{\sqrt{7}}{2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(\sqrt{7}\right)^{2}}{2^{2}}\pi$$

Express \frac{\left(\sqrt{7}\right)^{2}}{2^{2}}\pi as a single fraction.

$$\frac{\left(\sqrt{7}\right)^{2}\pi }{2^{2}}$$

The square of \sqrt{7} is 7.

$$\frac{7\pi }{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{7\pi }{4}$$