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\sqrt{8^{2}+\left(5+1\right)^{2}}
Add 3 and 5 to get 8.
\sqrt{64+\left(5+1\right)^{2}}
Calculate 8 to the power of 2 and get 64.
\sqrt{64+6^{2}}
Add 5 and 1 to get 6.
\sqrt{64+36}
Calculate 6 to the power of 2 and get 36.
\sqrt{100}
Add 64 and 36 to get 100.
10
Calculate the square root of 100 and get 10.