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4\sqrt{2}-5\sqrt{2}-\sqrt[3]{-27}
Combine \sqrt{2} and 3\sqrt{2} to get 4\sqrt{2}.
-\sqrt{2}-\sqrt[3]{-27}
Combine 4\sqrt{2} and -5\sqrt{2} to get -\sqrt{2}.
-\sqrt{2}-\left(-3\right)
Calculate \sqrt[3]{-27} and get -3.
-\sqrt{2}+3
The opposite of -3 is 3.