Evaluate
3-2\sqrt{2}\approx 0.171572875
Factor
3-2\sqrt{2}
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\left(\sqrt{2}-1\right)^{2}
Multiply \sqrt{2}-1 and \sqrt{2}-1 to get \left(\sqrt{2}-1\right)^{2}.
\left(\sqrt{2}\right)^{2}-2\sqrt{2}+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{2}-1\right)^{2}.
2-2\sqrt{2}+1
The square of \sqrt{2} is 2.
3-2\sqrt{2}
Add 2 and 1 to get 3.
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