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3+4\sqrt{2}-8\sqrt{3}-\left(-5\sqrt{2}\right)
To find the opposite of 8\sqrt{3}-5\sqrt{2}, find the opposite of each term.
3+4\sqrt{2}-8\sqrt{3}+5\sqrt{2}
The opposite of -5\sqrt{2} is 5\sqrt{2}.
3+9\sqrt{2}-8\sqrt{3}
Combine 4\sqrt{2} and 5\sqrt{2} to get 9\sqrt{2}.