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3-\sqrt{2}+\sqrt[3]{\left(-3\right)^{5}}-\sqrt{2}-21
Calculate the square root of 9 and get 3.
3-\sqrt{2}+\sqrt[3]{-243}-\sqrt{2}-21
Calculate -3 to the power of 5 and get -243.
3-2\sqrt{2}+\sqrt[3]{-243}-21
Combine -\sqrt{2} and -\sqrt{2} to get -2\sqrt{2}.
-18-2\sqrt{2}+\sqrt[3]{-243}
Subtract 21 from 3 to get -18.