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\sqrt{49+25+8-5\left(7-2\right)+2}
Calculate 5 to the power of 2 and get 25.
\sqrt{74+8-5\left(7-2\right)+2}
Add 49 and 25 to get 74.
\sqrt{74+8-5\times 5+2}
Subtract 2 from 7 to get 5.
\sqrt{74+8-25+2}
Multiply 5 and 5 to get 25.
\sqrt{74-17+2}
Subtract 25 from 8 to get -17.
\sqrt{57+2}
Subtract 17 from 74 to get 57.
\sqrt{59}
Add 57 and 2 to get 59.