Evaluate
\sqrt{2}\approx 1.414213562
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2\sqrt{2}-2+\left(\sqrt{2}\right)^{2}-\sqrt{2}
Apply the distributive property by multiplying each term of 2+\sqrt{2} by each term of \sqrt{2}-1.
2\sqrt{2}-2+2-\sqrt{2}
The square of \sqrt{2} is 2.
2\sqrt{2}-\sqrt{2}
Add -2 and 2 to get 0.
\sqrt{2}
Combine 2\sqrt{2} and -\sqrt{2} to get \sqrt{2}.
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