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\sqrt{5\times 5}+\sqrt{\sqrt{16}}
Calculate the square root of 25 and get 5.
\sqrt{25}+\sqrt{\sqrt{16}}
Multiply 5 and 5 to get 25.
5+\sqrt{\sqrt{16}}
Calculate the square root of 25 and get 5.
5+\sqrt{4}
Calculate the square root of 16 and get 4.
5+2
Calculate the square root of 4 and get 2.
7
Add 5 and 2 to get 7.