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