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\sqrt{7056+\left(-45\right)^{2}+39^{2}}
Calculate 84 to the power of 2 and get 7056.
\sqrt{7056+2025+39^{2}}
Calculate -45 to the power of 2 and get 2025.
\sqrt{9081+39^{2}}
Add 7056 and 2025 to get 9081.
\sqrt{9081+1521}
Calculate 39 to the power of 2 and get 1521.
\sqrt{10602}
Add 9081 and 1521 to get 10602.
3\sqrt{1178}
Factor 10602=3^{2}\times 1178. Rewrite the square root of the product \sqrt{3^{2}\times 1178} as the product of square roots \sqrt{3^{2}}\sqrt{1178}. Take the square root of 3^{2}.