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1+\sqrt{2}-1-\left(-\sqrt{2}\right)
To find the opposite of 1-\sqrt{2}, find the opposite of each term.
\sqrt{2}-\left(-\sqrt{2}\right)
Subtract 1 from 1 to get 0.
\sqrt{2}+\sqrt{2}
The opposite of -\sqrt{2} is \sqrt{2}.
2\sqrt{2}
Combine \sqrt{2} and \sqrt{2} to get 2\sqrt{2}.