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\sqrt{2025+50^{2}}
Calculate 45 to the power of 2 and get 2025.
\sqrt{2025+2500}
Calculate 50 to the power of 2 and get 2500.
\sqrt{4525}
Add 2025 and 2500 to get 4525.
5\sqrt{181}
Factor 4525=5^{2}\times 181. Rewrite the square root of the product \sqrt{5^{2}\times 181} as the product of square roots \sqrt{5^{2}}\sqrt{181}. Take the square root of 5^{2}.