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\sqrt{8^{2}+\left(3+2\right)^{2}}
Add 4 and 4 to get 8.
\sqrt{64+\left(3+2\right)^{2}}
Calculate 8 to the power of 2 and get 64.
\sqrt{64+5^{2}}
Add 3 and 2 to get 5.
\sqrt{64+25}
Calculate 5 to the power of 2 and get 25.
\sqrt{89}
Add 64 and 25 to get 89.