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\sqrt{3\left(-8\right)+\left(-7\right)^{2}}
The opposite of -3 is 3.
\sqrt{-24+\left(-7\right)^{2}}
Multiply 3 and -8 to get -24.
\sqrt{-24+49}
Calculate -7 to the power of 2 and get 49.
\sqrt{25}
Add -24 and 49 to get 25.
5
Calculate the square root of 25 and get 5.