Evaluate
-\frac{\sqrt{2}}{2}+1\approx 0.292893219
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\frac{\left(\sqrt{2}-1\right)\sqrt{2}}{\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{2}-1}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{\left(\sqrt{2}-1\right)\sqrt{2}}{2}
The square of \sqrt{2} is 2.
\frac{\left(\sqrt{2}\right)^{2}-\sqrt{2}}{2}
Use the distributive property to multiply \sqrt{2}-1 by \sqrt{2}.
\frac{2-\sqrt{2}}{2}
The square of \sqrt{2} is 2.
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