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\sqrt{64+7^{2}+5^{2}}
Calculate 8 to the power of 2 and get 64.
\sqrt{64+49+5^{2}}
Calculate 7 to the power of 2 and get 49.
\sqrt{113+5^{2}}
Add 64 and 49 to get 113.
\sqrt{113+25}
Calculate 5 to the power of 2 and get 25.
\sqrt{138}
Add 113 and 25 to get 138.