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5+\sqrt[3]{-64}+\sqrt{\left(-2\right)^{2}}
Calculate the square root of 25 and get 5.
5-4+\sqrt{\left(-2\right)^{2}}
Calculate \sqrt[3]{-64} and get -4.
1+\sqrt{\left(-2\right)^{2}}
Subtract 4 from 5 to get 1.
1+\sqrt{4}
Calculate -2 to the power of 2 and get 4.
1+2
Calculate the square root of 4 and get 2.
3
Add 1 and 2 to get 3.