Evaluate
\frac{\sqrt{2}-1}{2}\approx 0.207106781
Factor
\frac{\sqrt{2} - 1}{2} = 0.20710678118654757
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\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}-\frac{1}{2}
Rationalize the denominator of \frac{1}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{\sqrt{2}}{2}-\frac{1}{2}
The square of \sqrt{2} is 2.
\frac{\sqrt{2}-1}{2}
Since \frac{\sqrt{2}}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
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