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\sqrt{3}+1-\sqrt{3}-\left(-1\right)
To find the opposite of \sqrt{3}-1, find the opposite of each term.
1-\left(-1\right)
Combine \sqrt{3} and -\sqrt{3} to get 0.
1+1
The opposite of -1 is 1.
2
Add 1 and 1 to get 2.