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\sqrt{3025-45^{2}}
Calculate 55 to the power of 2 and get 3025.
\sqrt{3025-2025}
Calculate 45 to the power of 2 and get 2025.
\sqrt{1000}
Subtract 2025 from 3025 to get 1000.
10\sqrt{10}
Factor 1000=10^{2}\times 10. Rewrite the square root of the product \sqrt{10^{2}\times 10} as the product of square roots \sqrt{10^{2}}\sqrt{10}. Take the square root of 10^{2}.