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\sqrt{31+\sqrt{28-\sqrt{5+4}}}
Calculate the square root of 16 and get 4.
\sqrt{31+\sqrt{28-\sqrt{9}}}
Add 5 and 4 to get 9.
\sqrt{31+\sqrt{28-3}}
Calculate the square root of 9 and get 3.
\sqrt{31+\sqrt{25}}
Subtract 3 from 28 to get 25.
\sqrt{31+5}
Calculate the square root of 25 and get 5.
\sqrt{36}
Add 31 and 5 to get 36.
6
Calculate the square root of 36 and get 6.