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\sqrt{900-25^{2}}
Calculate 30 to the power of 2 and get 900.
\sqrt{900-625}
Calculate 25 to the power of 2 and get 625.
\sqrt{275}
Subtract 625 from 900 to get 275.
5\sqrt{11}
Factor 275=5^{2}\times 11. Rewrite the square root of the product \sqrt{5^{2}\times 11} as the product of square roots \sqrt{5^{2}}\sqrt{11}. Take the square root of 5^{2}.