Solve 1-0.09/2sqrt{2*5*pi}

$$\frac { 1 - 0.09 } { 2 \sqrt { 2 } \times 5 \times \pi }$$

Evaluate

$$\frac{91\sqrt{2}}{2000\pi }\approx 0.020482196$$

Solution Steps

Subtract 0.09 from 1 to get 0.91.

$$\frac{0.91}{2\times 5\sqrt{2}\pi }$$

Multiply 2 and 5 to get 10.

$$\frac{0.91}{10\sqrt{2}\pi }$$

Rationalize the denominator of \frac{0.91}{10\sqrt{2}\pi } by multiplying numerator and denominator by \sqrt{2}.

$$\frac{0.91\sqrt{2}}{10\left(\sqrt{2}\right)^{2}\pi }$$

The square of \sqrt{2} is 2.

$$\frac{0.91\sqrt{2}}{10\times 2\pi }$$

Multiply 10 and 2 to get 20.

$$\frac{0.91\sqrt{2}}{20\pi }$$