Solve frac{sqrt{2}}{2pisqrt{2}}

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

Evaluate

$$\frac{1}{2\pi }\approx 0.159154943$$

Solution Steps

Rationalize the denominator of \frac{\sqrt{2}}{2\pi \sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

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

The square of \sqrt{2} is 2.

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

Multiply \sqrt{2} and \sqrt{2} to get 2.

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

Multiply 2 and 2 to get 4.

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