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\sqrt{900-10^{2}}
Calculate 30 to the power of 2 and get 900.
\sqrt{900-100}
Calculate 10 to the power of 2 and get 100.
\sqrt{800}
Subtract 100 from 900 to get 800.
20\sqrt{2}
Factor 800=20^{2}\times 2. Rewrite the square root of the product \sqrt{20^{2}\times 2} as the product of square roots \sqrt{20^{2}}\sqrt{2}. Take the square root of 20^{2}.