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\sqrt{900+45^{2}+10^{2}}
Calculate 30 to the power of 2 and get 900.
\sqrt{900+2025+10^{2}}
Calculate 45 to the power of 2 and get 2025.
\sqrt{2925+10^{2}}
Add 900 and 2025 to get 2925.
\sqrt{2925+100}
Calculate 10 to the power of 2 and get 100.
\sqrt{3025}
Add 2925 and 100 to get 3025.
55
Calculate the square root of 3025 and get 55.