Solve x=pifrac{sqrt{6}}{8}frac{sqrt{6}}{8}

$$x = \pi \frac { \sqrt { 6 } } { 8 } \frac { \sqrt { 6 } } { 8 }$$

Solve for x

$$x=\frac{3\pi }{32}\approx 0.294524311$$

Solution Steps

Multiply \frac{\sqrt{6}}{8} and \frac{\sqrt{6}}{8} to get \left(\frac{\sqrt{6}}{8}\right)^{2}.

$$x=\pi \times \left(\frac{\sqrt{6}}{8}\right)^{2}$$

To raise \frac{\sqrt{6}}{8} to a power, raise both numerator and denominator to the power and then divide.

$$x=\pi \times \frac{\left(\sqrt{6}\right)^{2}}{8^{2}}$$

Express \pi \times \frac{\left(\sqrt{6}\right)^{2}}{8^{2}} as a single fraction.

$$x=\frac{\pi \left(\sqrt{6}\right)^{2}}{8^{2}}$$

The square of \sqrt{6} is 6.

$$x=\frac{\pi \times 6}{8^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$x=\frac{\pi \times 6}{64}$$

Divide \pi \times 6 by 64 to get \pi \times \frac{3}{32}.

$$x=\pi \times \frac{3}{32}$$

Assign x

$$x≔\frac{3\pi }{32}$$