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\sqrt{3}-1-\frac{\sqrt{3}+1}{1}
Anything divided by one gives itself.
\sqrt{3}-1-\left(\sqrt{3}+1\right)
Anything divided by one gives itself.
\sqrt{3}-1-\sqrt{3}-1
To find the opposite of \sqrt{3}+1, find the opposite of each term.
-1-1
Combine \sqrt{3} and -\sqrt{3} to get 0.
-2
Subtract 1 from -1 to get -2.