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6+\sqrt[3]{27}-\sqrt{12+13}
Calculate the square root of 36 and get 6.
6+3-\sqrt{12+13}
Calculate \sqrt[3]{27} and get 3.
9-\sqrt{12+13}
Add 6 and 3 to get 9.
9-\sqrt{25}
Add 12 and 13 to get 25.
9-5
Calculate the square root of 25 and get 5.
4
Subtract 5 from 9 to get 4.