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\sqrt{2}-5\sqrt{2}-\left(-1\right)-1
To find the opposite of 5\sqrt{2}-1, find the opposite of each term.
-4\sqrt{2}-\left(-1\right)-1
Combine \sqrt{2} and -5\sqrt{2} to get -4\sqrt{2}.
-4\sqrt{2}+1-1
The opposite of -1 is 1.
-4\sqrt{2}
Subtract 1 from 1 to get 0.