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5-\left(\sqrt{13}\right)^{2}+\sqrt[3]{125}
The square of \sqrt{5} is 5.
5-13+\sqrt[3]{125}
The square of \sqrt{13} is 13.
-8+\sqrt[3]{125}
Subtract 13 from 5 to get -8.
-8+5
Calculate \sqrt[3]{125} and get 5.
-3
Add -8 and 5 to get -3.