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\sqrt{10}-\sqrt{10}+\left(3-1\right)^{0}
Combine \sqrt{2} and -\sqrt{2} to get 0.
\left(3-1\right)^{0}
Combine \sqrt{10} and -\sqrt{10} to get 0.
2^{0}
Subtract 1 from 3 to get 2.
1
Calculate 2 to the power of 0 and get 1.