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\sqrt{25}+\sqrt{2^{2}}
Calculate 5 to the power of 2 and get 25.
5+\sqrt{2^{2}}
Calculate the square root of 25 and get 5.
5+\sqrt{4}
Calculate 2 to the power of 2 and get 4.
5+2
Calculate the square root of 4 and get 2.
7
Add 5 and 2 to get 7.